Question

"The measure of an angle is 5 times the measure of its supplementary angle, therefore the measure of both the angles are a) 150°,30° b) 20°,160° c) 10° ,170°"

Answer 1

a

Explanation:

supplementary angles sum to 180°

let the angle be x then supplementary angle is (180 - x)

equate the 2 angles and solve for x

x = 5(180 - x) ← distribute parenthesis

x = 900 - 5x ( add 5x to both sides )

x + 5x = 900 - 5x + 5x ( simplify both sides )

6x = 900 ( divide both sides by 6 )

`(6)/(6)` x =
`(900)/(6)` , that is

x = 150

the other angle = 180 - x = 180 - 150 = 30

the 2 angles are 150° and 30°