Question

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

Answer:

x=38.25

Step-by-step explanation:

let us take the angle at x

the angles are complementary,

Complementary angles are equal to 90,so

x+(x+13.5)=90 degrees

=> x+x+13.5 =90

=>2x+13.5=90

=>90-13.5=76.5

=>2x=76.5

=>x=76.5 ÷ 2x= 38.25

∴ x=38.25