COMPLEMENTARY AND SUPPLEMENTARY ANGLES PRACTICE QUESTIONS

Find the values of unknowns :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

Solution

Problem 11 :

∠UVW and ∠XYZ are complementary angles, m∠UVW = (x − 10)°, and m∠XYZ  = (4x − 10)°.

Solution

Problem 12 :

∠EFG and ∠LMN are supplementary angles, m∠EFG = (3x + 17)°, and m∠LMN = ( (1/2)  x − 5)°.

Solution

Problem 13 :

Use the figure.

a) Name a pair of adjacent complementary angles.

b) Name a pair of adjacent supplementary angles.

c) Name a pair of nonadjacent complementary angles.

d) Name a pair of nonadjacent supplementary angles.

Solution

Problem 14 :

Find the measure of each angle.

a)Two angles form a linear pair. The measure of one angle is twice the measure of the other angle.

b) Two angles form a linear pair. The measure of one angle is 1/3 the measure of the other angle.

Solution

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