Question

The measures of two angles are in the ratio 7:8 and they are supplementaryangles. Find the measures of
these angles.

Answer 1

Answer:

84 and 96

Step-by-step explanation:

Two angles are in ratio 7:8

Let the 2 angles be 7x and 8x

Since they are supplementary angles:

7x+8x=180

∘

⇒15x=180

∘

⇒x=12

∘

∴ Angles are 7×12

∘

,8×12

∘

i.e., 84

∘

and 96

∘

Answer 2

Answer:

Let the angle one be 7x

and angle two be 8x

ATQ

7x + 8x = 180 (given angles are supplementary)

=> 15x = 180

=> x = 180/15

=> x = 12

So measure of Angle one is 7 × 12 = 84

And measure of angle two is 8 × 12 = 96