Question

Supplement of angle is four times its complent angle find angle

Answer 1

x = the angle

Complement: 90° - x
Supplement: 180° - x


180° - x = 4 ∙ ( 90° - x )

180° - x = 4 ∙ 90° - 4 ∙ x

180° - x = 360° - 4 x Add 4 x to both sides

180° - x + 4 x = 360° - 4 x - 4 x

180° + 3 x = 360° Subtract 180° to both sides

180° + 3 x - 180° = 360° - 180°

3 x = 180° Divide both sides by 3

x = 180° / 3

x = 60°

Answer 2

My typo.

180° - x = 360° - 4 x Add 4 x to both sides

180° - x + 4 x = 360° - 4 x + 4 x