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Intermediate Geometry : How to find an angle in a trapezoid

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Example Questions

Example Question #1 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measure of .

Possible Answers:

$76^\circ$

$153^\circ$

$93^\circ$

$86^\circ$

Correct answer:

$76^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring 104 degrees are adjacent angles that are supplementary.

j+104=180

j=76

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Example Question #1 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the angle measurement of .

Possible Answers:

$39^\circ$

$85^\circ$

$104^\circ$

$153^\circ$

Correct answer:

$153^\circ$

Explanation:

In a trapezoid, all the interior angles add up to 360 degrees.

95+85+27+h=360

207+h=360

h=153

is 153 degrees.

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Example Question #2 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the angle measurement of .

Possible Answers:

$133^\circ$

$153^\circ$

$143^\circ$

$123^\circ$

Correct answer:

$143^\circ$

Explanation:

All the interior angles in a trapezoid add up to 360 .

55+125+37+g=360

217+g=360

g=143

is 143 degrees.

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Example Question #2 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the angle measurement of .

Possible Answers:

$145^\circ$

$165^\circ$

$155^\circ$

$135^\circ$

Correct answer:

$155^\circ$

Explanation:

All the interior angles in a trapezoid add up to 360 .

135+45+25+f=360

205+f=360

f=155

is 155 degrees.

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Example Question #3 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

Possible Answers:

$54^\circ$

$64^\circ$

Cannot be determined from the given information.

$74^\circ$

Correct answer:

$74^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring 106 degrees are adjacent angles that are supplementary.

e+106=180

e=74

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Example Question #21 : Trapezoids

In the trapezoid below, find the degree measurement of .

Possible Answers:

$92^\circ$

$82^\circ$

$102^\circ$

Cannot be determined from the information given.

Correct answer:

$102^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring degrees are adjacent angles that are supplementary.

d+78=180

d=102

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Example Question #22 : Trapezoids

In the trapezoid below, find the degree measurement of .

Possible Answers:

$106^\circ$

$116^\circ$

$96^\circ$

$86^\circ$

Correct answer:

$116^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring degrees are adjacent angles that are supplementary.

c+64=180

c=116

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Example Question #4 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

Possible Answers:

$93^\circ$

$73^\circ$

$83^\circ$

$103^\circ$

Correct answer:

$93^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring degrees are adjacent angles that are supplementary.

b+87=180

b=93

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Example Question #5 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

Possible Answers:

$95^\circ$

$105^\circ$

$115^\circ$

$85^\circ$

Correct answer:

$105^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring degrees are adjacent angles that are supplementary.

Therefore, we can write the following equation and solve for a.

a+75=180

a=105

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Example Question #6 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

Possible Answers:

$65^\circ$

$85^\circ$

$105^\circ$

$75^\circ$

Correct answer:

$85^\circ$

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.

and the angle measuring degrees are adjacent angles that are supplementary.

Therefore, we can write the following equation and solve for z.

z+95=180

z=85

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Intermediate Geometry : How to find an angle in a trapezoid

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1 : How To Find An Angle In A Trapezoid

Example Question #1 : How To Find An Angle In A Trapezoid

Example Question #2 : How To Find An Angle In A Trapezoid

Example Question #2 : How To Find An Angle In A Trapezoid

Example Question #3 : How To Find An Angle In A Trapezoid

Example Question #21 : Trapezoids

Example Question #22 : Trapezoids

Example Question #4 : How To Find An Angle In A Trapezoid

Example Question #5 : How To Find An Angle In A Trapezoid

Example Question #6 : How To Find An Angle In A Trapezoid

All Intermediate Geometry Resources

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