Question

If two supplementary’ angles are in the ratio 2 : 7, find the measure of each angle

Answer 1

Step-by-step explanation:

Let the angles be 2x and 7x

Angles are given supplementary

2x+7x=180

9x=180

x=20 ∘

So the angles are 2×20 ∘=40 ∘and 7×

20∘=140 ∘

Answer 2

$\huge\mathfrak\purple {Answer:}$

According to Question,

2x + 7x = 180°

(Cause they are supplementary angles)

→ 9x = 180

→ x = (180/9)

→ x = 20

That gives us the angles as

2x = 2 × 20 = 40°

7x = 7 × 20 = 140°

$\mathfrak\purple {Hope\: this\: helps\: you...}$