Question

The difference in the measure of two complementary angles is 10⁰. Find the measures of the two angles .

Answer 1

let the first angle be x

then other is x+10

therefore x+x+10=90

2x+10=90

2x=90-10=80

2x=80/2=40

Answer 2

Let the smaller angle be x.

Then, the other angle=x+10°

Sum of complementary angles = 90°

So,

x+x+10°=90°

2x+10°=90°

2x=90°-10°

2x=80°

x=(80/2)°

x=40°

Then, one of the angles = x=40°

the other angle = x+10°=40°+10°=50°

Ans-The measured of the complementary angles are 40° and 60° respectively.

Hope it helps you!

Please mark it as brainliest!!!