Question

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

Answer 1

Answer:

108° and 72°

Step-by-step explanation:

let one angle be x then the other angle is $\frac{2}{3}$ x

the sum of the 2 angles = 180°, hence

x + $\frac{2}{3}$ x = 180 ( combining the left side )

$\frac{5}{3}$ x = 180

multiply both sides by 3 then divide both sides by 5

5x = 540 ⇒ x = 108

the 2 angles are x = 108° and $\frac{2}{3}$ x = 72°