WORKSHEET ON COMPLEMENTARY AND SUPPLEMENTARY ANGLES

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 ?

Solution

Problem 3 :

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

Solution

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.

Solution

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.

Solution

Problem 7 :

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

Solution

Problem 8 :

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

Solution

Problem 9 :

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

Solution

Problem 1 :

Angles G and H are complementary. If m∠G = 3x + 6 and m∠H = 2x - 11. what is the measure of each angle?

Solution

Problem 2 :

The measures of angles A and B are supplementary. What is the measure of each angle?

Solution

Problem 3 :

An angle is five its supplement. Find both angles.

Solution

Problem 4 :

An angle is 74 degrees more than its complement. Find both angles.

Solution

Problem 5 :

The supplement of an angle exceeds the angle by 60 degrees. Find both angles.

Solution

Problem 6 :

Find the number of degrees in an angle which is 42 less than its complement.

Solution

Problem 7 :

Find the number of degrees in an angle which is 120 less than its supplement. 

Solution

Problem 8 :

The complement of an angle is 30 less than twice the angle. Find the larger angle.

Solution

Problem 9 :

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 10 :

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

Solution