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Example Questions
Example Question #1 : Supplementary Angles
Refer to the above diagram.
;
. Evaluate
.
and
form a linear pair, so they are supplementary - that is, their degree measures total
, so
and
are acute angles of right triangle
, so they are complementary - that is, their degree measures total
, so
Example Question #2 : Supplementary Angles
Angles A, B, and C are supplementary. The measure of angle A is . The measure of angle B is
. The measure for angle C is
. Find the value of
.
Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up the equation as such:
-or-
Combine like terms and solve for :
Example Question #3 : Supplementary Angles
Angles A and B are supplementary. The measure of angle A is . The measure of Angle B is
. Find the value of
.
No solution
Since angles A and B are supplementary, thier measurements add up to equal 180 degrees. Therefore we can set up our equation like such:
-or-
Combine like terms and solve for :
Example Question #4 : Supplementary Angles
Angles A, B, and C are supplementary. The measure of angle A is . The measure of angle B is
. The measure for angle C =
. What are the measure for the three angles?
No solution
Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up an equation as such:
-or-
Combine like terms and solve for x:
Plug back into the three angle measurements:
4
Example Question #1 : Supplementary Angles
If a set of angles are supplementary, what is the other angle if one angle is degrees?
Two angles that are supplementary must add up to 180 degrees.
To find the other angle, subtract 101 from 180.
The answer is:
Example Question #1 : Supplementary Angles
What angle is supplementary to 54 degrees?
Supplementary angles must add up to 180 degrees.
To find the other angle, we will need to subtract 54 from 180.
The answer is:
Example Question #7 : Supplementary Angles
If and
are supplementary angles, what must be a possible angle?
The sum of the two angles supplement to each other will add up to 180 degrees.
Set up the equation.
Solve for .
Divide by 10 on both sides.
Substitute for
and
, and we have 36 and 144, which add up to 180.
The answer is:
Example Question #8 : Supplementary Angles
If the angles and
are supplementary, what is the value of
?
Supplementary angles sum to 180 degrees.
Set up an equation to solve for .
Substitute this value to .
The answer is:
Example Question #9 : Supplementary Angles
Suppose there are two angles. If a given angle is , and both angles are supplementary, what must be the other angle?
Supplementary angles add up to 180 degrees.
This means we will need to subtract the known angle quantity from 180.
Distribute the negative.
The answer is:
Example Question #10 : Supplementary Angles
If an angle given is radians, what is the other angle if both angles are supplementary?
Note that supplementary angles sum up to 180 degrees or equal to radians.
Subtract the known angle from pi.
The answer is:
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