Question

The difference of complementary angles is 10 degree. find the measures of the angles.​

Answer 1

50° and 40°

Explanation:

Complementary angles sum to 90°

let one angle be x then the other is x - 10

x + x - 10 = 90

2x - 10 = 90 ( add 10 to both sides )

2x = 100 ( divide both sides by 2 )

x = 50

x - 10 = 50 - 10 = 40

The angle measures are 50° and 40°

Answer 2

40° and 50°

Explanation:

90=(x+10)+x

90=2x+10

80=2x

40=x

Therefore the answer is,

40 and 40+10

40° and 50°