Question

The sum of the measures of any two complementary angles is 90 degree. The difference between the measures of two specific complementary angles is 60 degree. What is the measure of each angle? Enter them below, separated by a comma. Write “deg” for the degree symbol.

Answer 1

Let

x and y -----< two complementary angles

so

x+y=90 -----> equation 1

x-y=60 -----> equation 2

Solve the system of equations

Solve by elimination

Adds equation 1 and equation 2

x+y=90

x-y=60

------------

2x=150

x=75 deg

Find out the value of y

75+y=90

y=15 deg

therefore

the angles are 75 deg and 15 degg