Two angles form a linear pair. The measure of one angle is 2/3 the measure of the other angle. Find the measure of each angle

Question

asked Sep 9, 2019 167k views

2 Answers

Shaffick · Answer 1 · 2019-09-16T01:03:44+0000

Answer:

108° and 72°

Explanation:

let one angle be x then the other angle is
(2)/(3) x

the sum of the 2 angles = 180°, hence

x +
(2)/(3) x = 180 ( combining the left side )

(5)/(3) x = 180

multiply both sides by 3 then divide both sides by 5

5x = 540 ⇒ x = 108

the 2 angles are x = 108° and
(2)/(3) x = 72°