Question

One supplementary angle is 12 degrees less than twice the other. Find two supplementary angles.

Answer 1

64° and 116°

Explanation:

Supplementary angles sum to 180°

let one angle be x then the other is 2x - 12 ( 12 less than twice the other )

Sum the 2 angles and equate to 180

x + 2x - 12 = 180

3x - 12 = 180 ( add 12 to both sides )

3x = 192 ( divide both sides by 3 )

x = 64

The 2 angles are x = 64° and 2x - 12 = (2 × 64) - 12 = 128 - 12 = 116°