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Angle Pairs

The document is a worksheet containing 15 word problems involving angle pairs - supplementary, complementary, and bisector angles. Students are asked to solve each problem and write the solutions and answers. The problems involve finding unknown angle measures given information about relationships between angles such as being supplementary, complementary, or involving bisectors.

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Ia Lacson
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174 views3 pages

Angle Pairs

The document is a worksheet containing 15 word problems involving angle pairs - supplementary, complementary, and bisector angles. Students are asked to solve each problem and write the solutions and answers. The problems involve finding unknown angle measures given information about relationships between angles such as being supplementary, complementary, or involving bisectors.

Uploaded by

Ia Lacson
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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GRADE 7

Brightwoods School Angle Pairs


High School Department MTAP
SY 2017-2018

Name: _____________________________ Date: __________________ Score: __________

Solve the following word problems.

Problems Solutions and Answers

1. Two angles are supplementary. If 5 times


of one angle is 10 times of the other angle.
Find the two angles.

2. The measure of the supplement of angle A


is 40 degrees larger than twice the measure
of the complement of angle of A. What is the
sum in degrees, of the measures of the
supplement and complement of angle A?

3. Twice the complement of an angle is 24


degrees less than its supplement. What is
the measure of the angle?

4. Two angles are supplementary. If the ratio


of the measure of the smaller angle to that of
the larger angle is 5:7. What is the measure
of the smaller angle?

5. One of the measure of supplement of an


angle is equal to the twice the measure of
the angle. What is the measure in degrees,
of the compliment of the angle?
6. Six times the complement of an angle is
40̊ less than its supplement. What is the
supplement of an angle?

7. Two angles are supplementary. One angle


is 24° less than thrice the other. What is the
complement of smaller angle?

8. The product of the angle and its


complement in degrees is 2016. What is the
larger angle? (Hint: Use the quadratic
formula, or try factoring.)

9. If ∠B is the complement of ∠A, and the


supplement of ∠A is 138°, what is ∠B –
∠A?

10. Two complementary angles are in the


ratio 4:6. Find the two angles.

11. A supplement of an angle is three times a


complement of the angle. What are the
measures of the angle, its supplement, and
its complement?
12. The measures of three angles are in ratio
1:2:3. If the total measure of the three angles
is 126°, what is the measure of each angle?

13. Given that ray OX bisects ∠BOS, if the


measure of ∠BOX is 2 more than twice a
number x, find the measure of ∠BOS in
terms of x.

14. Ray OY bisects ∠BOX. If the measure of


∠BOX is x+11 and the measure of ∠BOY is
x+3, find the value of x and measure of all
the angles involved.

15. If ∠1 ≅ ∠2, m∠1 = 3x, and ∠2 = 5x-22,


find the measure of each angle.

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