Question

Two supplementary angles are in the ratio 4:5. Find the angles.​

Answer 1

Answer:

Let the angles be x

As they are in ratio of 4:5 ,so we can write it in the form of 4x ,5x

We know supplementary angle =180°

so,According to the question

4x+5x =180°

9x =180°

x =180°÷9

x =20°

so , 1 st angle = 4x =4×20° =80°

2 nd angle = 5x = 5×20° =100°

◆PROOF◆

4x + 5x =180°

4×20° +5×20° =180°

80°+ 100°=180°

180° =180°

[VERIFIED]

Hope it helps you.

Answer 2

Answer:

80:100

Step-by-step explanation:

let the angles be 4xand5x

then 4x +5x = 180°

9x=180°

x=180°/9

x= 20°

therefore angles are 20×4=80°

and 20×5=100°