Question

The sum of the measures of any two complementary angles is 90 degrees. The difference between the measures of two specific complementary angles is 28 degrees. What is the measure of each angle? Enter them below, separated by a comma. Write “deg” for the degree symbol.

Answer 1

Let the two complementary angles be x and y

A/q,

x+y=90 .....(1)

x-y=28 .......(2)

Addibg 1 and 2,

2x=118

x=59

From 1,

y=90-59=31

The two angles are 59 deg, 31 deg.