Complementary
Supplementary
Challenge
100

                                                                       

Two angles are complementary. If one of the angles is double the other angle, find the two angles.

                                                       


    

                                                                       x = 30° and 2x = 60°

                                                       


    

100

                                                                       

Two angles are supplementary. If one angle is 36° less than twice of the other angle, find the two angles.

                                                       


    

The two angles are 108° and 72°

                                                       


    

100

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 ?

                                                       


    

Measure of supplement of the angle = 180 - x Measure of complement of the angle = 90 - x

                                                                    Measure of complement of the angle is 30 degrees

                                                       


    

                                                       


    

200

                                                                       

Two angles are complementary. If one angle is two times the sum of other angle and 3, find the two angles.

                                                       


    

The two angles are 62° and 28°

                                                       


    

200

                                                                       

Two angles are supplementary. If 5 times of one angle is 10 times of the other angle. Find the two angles.

                                                       


    

The two angles are 60° and 120°.

                                                       


    

200

Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle ?

                                                       


    

 2(90-x) = (180-x) - 24

 The measure of the angle is 24 degrees

                                                       


    

300

                                                                       

The measure of an angle is 3/4 of 60°. What is the measure of the complementary angle ?

                                                       


    

                                                                       

x = 45°

                                                       


    

300

                                                                       

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 ?

                                                       


    

Measure of the smaller angle = 5x
Measure of the larger angle = 7x

5x + 7x = 180

Measure of the smaller angle is 75o

                                                       


    

                                                       


    

                                                       


    

400

An angle and its one-half are complementary. Find the angle.

                                                       


    

The angle is 60°

                                                       


    

400

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 ?

                                                       


    

Let "x" be the measure of angle A.
Then, supplement of angle A = 180 - x complement of angle A = 90 - x
Given : (180 - x) is 40 degrees more than 2(90 - x)

The sum of supplement and complement of angle A = 140+50 = 190

The sum of supplement and complement of angle A is 190 degrees.

                                                       


    

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