Question

Two angles are supplementary. Angle 1 is (3x + 7)° and angle 2 is (4x - 2°). What is the value of x?

Answer 1

82 and 98

Explanation:

Two angles are supplementary.

angle 1 + angle 2 = 180

3 x +7 + 4 x -2 = 180

7 x + 5 = 180

7 x = 180-5

7 x = 175

x = `175/7`

x = 25

angle 1 = 3 x + 7= 3 `xx` 25+7 =75+7 = 82
angle 2 = 4 x - 2 = 4 `xx` 25 -2 = 100-2 = 98