Question

The difference in the measures of two complementary angles is 13.5°. Find the measures of the angles.

Answer 1

Heya, _____________________________

Let one complimentary angle be x
Another = 90° - x

x - ( 90° - x ) = 13.5°

x - 90° + x = 13.5°

2x = 13.5° + 90°

x = 103.5°/2

x = 51.75°

Another angle = 90° - 51.75°
=38.25°

Hope it helps☺!✌

Answer 2

x-y=13.5°-----(equation 1)

x+y=90°------(equation 2)

Adding both we get.

2x=103.5
x=51.75°


Putting x in equation 1

51 .75-y=13.5
-y=13.5-51.75
-y=-38.25
y=38.25