Question

The angles of a triangle are in the ratio 1 : 2 : 3 , there measures will be * 30°, 60° ,90°
30°
60°
90°​

Answer 1

Solution ↓

→ We know that :-

★ Sum of three angles of a ∆ is 180°.

→ Let the angles be x, 2x and 3x. Then

→ Angle A + Angle B + Angle C = 180°

→ x + 2x + 3x = 180°

→ 3x + 3x = 180°

→ 6x = 180°

→ x = 180 ÷ 6

→ x = 30°

Therefore, their measures will be :-

★ Angle A = x = 30°

★ Angle B = 2x = 2(30) = 60°

★ Angle C = 3x = 3(30) = 90°

Answer 2

Answer:

let the angle be 1x , 2x, 3x

1x + 2x +3x=180

6x= 180

x=180/6

x=30

2x=2×30=60

3x=3×30=90