Question

The difference of complementary angles is 10⁰. Find the measures of the angle.​

Answer 1

50° and 40°

Explanation:

Since complementary angles are 90°, the angles combined have to equal to 90.

50 - 40 = 10

40 + 10 = 50

50 + 40 = 90

Answer 2

40° and 50°

Explanation:

Complementary angles sum to 90°

let x be one angle then x - 10 is the other, their sum is

x + x - 10 = 90

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

2x = 100 ( divide both sides by 2 )

x = 50

Then angles are 50° and 50° - 10° = 40°