Question

Three interior angles of a triangle are in the ratio 1:2:3. The angles are:
(a) 30°, 60°, 90°
(b) 10°, 20°, 30°
(c) 45°, 45°, 90°
(d) 60°, 60°, 60°​

Answer 1

Answer:

Correct option is

A

30

∘

,60

∘

,90

∘

Sum of angles of a triangle is 180

o

.

Given angles of a triangle are in ratio 1:2:3.

Let consider the angles as x, 2x and 3x respectively.

Hence,

x+2x+3x=180

o

=>6x=180

o

So, x=30

o

.

Hence other angles are 2x=60

o

and 3x=90

o

.