Question

The difference in the measure of the two complementary angles is 13.5.find the measure of the angles

Answer 1

Let the angle be x
Angles are complementary
Therefore,
X-(90-X)=13.5
X-90+X=13.5
2X=90+13.5
2X=103.5
X=103.5/2
X=51.75

HOPE IT HELPS.

Answer 2

38.25 and 51.75

take the 2 angles as x and y

x+y=90 because complementary anges add upto 90

x-y=13.5 assume that x is the larger one and their difference is 13.5

Solve simultaneously (add both equations), you get

2x = 103.5

x= 103.5/2 = 51.75

y = 90-51.75 = 38.25