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Example Questions
Example Question #1 : How To Find An Angle In A Kite
Using the kite shown above, find the sum of the two remaining congruent interior angles.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
To find the sum of the remaining two angles, determine the difference between degrees and the sum of the non-congruent opposite angles.
The solution is: degrees
Thus, degrees is the sum of the remaining two opposite angles.
Check:
Example Question #2 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement for one of the two remaining interior angles in this kite.
Not enough information is provided
The sum of the interior angles of any polygon can be found by applying the formula:
degrees, where
is the number of sides in the polygon.
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
The missing angle can be found by finding the sum of the non-congruent opposite angles. Then divide the difference between degrees and the non-congruent opposite angles sum by
:
This means that is the sum of the remaining two angles, which must be opposite congruent angles. Therefore, the measurement for one of the angles is:
Example Question #3 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement for one of the two remaining interior angles in this kite.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
A kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
The missing angle can be found by finding the sum of the non-congruent opposite angles. Then divide the difference between degrees and the non-congruent opposite angles sum by
:
This means that is the sum of the remaining two angles, which must be opposite congruent angles. Therefore, the measurement for one of the angles is:
Example Question #1 : How To Find An Angle In A Kite
Using the kite shown above, find the sum of the two remaining congruent interior angles.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
A kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
To find the sum of the remaining two angles, determine the difference between degrees and the sum of the non-congruent opposite angles.
The solution is: degrees
Thus, degrees is the sum of the remaining two opposite angles.
Example Question #5 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement for one of the two remaining interior angles in this kite.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
The missing angle can be found by finding the sum of the non-congruent opposite angles. Then divide the difference between degrees and the non-congruent opposite angles sum by
:
This means that is the sum of the remaining two angles, which must be opposite congruent angles. Therefore, the measurement for one of the angles is:
Example Question #6 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement of the sum of the two remaining interior angles in this kite.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
To find the sum of the remaining two angles, determine the difference between degrees and the sum of the non-congruent opposite angles.
The solution is: degrees
This means that degrees is the sum of the remaining two opposite angles and that each have an individual measurement of
degrees.
Check:
Example Question #7 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement for one of the two remaining interior angles in this kite.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
A kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
The missing angle can be found by finding the sum of the non-congruent opposite angles. Then divide the difference between degrees and the non-congruent opposite angles sum by
:
This means that is the sum of the remaining two angles, which must be opposite congruent angles. Therefore, the measurement for one of the angles is:
Example Question #1 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement of the sum of the two remaining interior angles.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
To find the sum of the remaining two angles, determine the difference between degrees and the sum of the non-congruent opposite angles.
The solution is: degrees
This means that degrees is the sum of the remaining two opposite angles.
Check:
Example Question #9 : How To Find An Angle In A Kite
A kite has one set of opposite interior angles where the two angles measure and
, respectively. Find the measurement for one of the two remaining interior angles in this kite.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
The missing angle can be found by finding the sum of the non-congruent opposite angles. Then divide the difference between degrees and the non-congruent opposite angles sum by
:
This means that is the sum of the remaining two angles, which must be opposite congruent angles. Therefore, the measurement for one of the angles is:
Example Question #10 : How To Find An Angle In A Kite
Using the kite shown above, find the sum of the two remaining congruent interior angles.
The sum of the interior angles of any polygon can be found by applying the formula: degrees, where
is the number of sides in the polygon.
A kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees
degrees
degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.
To find the sum of the remaining two angles, determine the difference between degrees and the sum of the non-congruent opposite angles.
The solution is: degrees
degrees
Thus, degrees is the sum of the remaining two opposite angles.
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