# COMPLEMENTARY AND SUPPLEMENTARY ANGLES WORD PORBLEMS WORKSHEET

Problem 1 :

Angles A and B are complementary. If m∠A = 3x - 8 and m∠B = 5x + 10, what is the measure of each angle ?

Solution

Problem 2 :

Angles Q and R are supplementary. If m∠Q = 4x + 9 and m∠R = 8x + 3, what is the measure of each angle ?

Problem 3 :

Find the measure of two complementary angles ∠A and ∠B, if m∠A = 7x + 4 and m∠B = 4x+ 9.

Problem 4 :

The measure of an angle is 44 more than the measure of its supplement. Find the measures of the angles.

Solution

Problem 5 :

What are the measures of two complementary angles if the difference in the measures of the two angles is 12.

Problem 6 :

Find the measures of two supplementary angles ∠N and ∠M if the measure of angle N is 5 less than 4 times the measure of angle M.

Problem 7 :

Suppose ∠T and ∠U are complementary angles. Find x, if ∠T = 16x - 9 and ∠U = 4x - 1.

Problem 8 :

Two angles are vertical in relation. One angle is 2y and the other angle is y + 130. Find each angle measure.

Problem 9 :

The measure of two supplementary angles are in the ratio 4 : 2, Find those two angles.

1)  m∠A = 25 and m∠B = 65

2)  m∠Q = 65 and m∠R = 115

3)  m∠A = 53 and m∠B = 37

4)  112 and 68.

5)  39 and 51

6)  ∠M = 37 and ∠N = 143

7)  71 and 19

8)  260 and 260

9)  60 and 120

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