Question

Two angle of a triangle are in the ratio 2:3 of the third angle =50°. find the other.

Answer 1

Ratio=2:3=2m and 3m

Third angle=50°

Sum of all angles of a triangle=180°

=2m+3m+50=180

=5m=180-50

=m=130/5

=m=26

Therefore,

2m=2×26=52°

3m=3×26=78°

Answer 2

SOLUTION :

The first two angles of a triangle = 2:3       (given)

The third angle = 50°          (given)

To be found :-

The first two angles

Let first angle be 2x°

and second angle be 3x°

We know that,

Sum of all angles of a triangle = 180°

So,

⇒ 2x + 3x + 50 = 180

⇒ 5x + 50 = 180

⇒ 5x = 180 - 50

⇒ 5x = 130

⇒ x = 130 ÷ 5

⇒ x = 26

Hence

First angle = 2x = 2 × 26 = 52

and second angle = 3x = 3 × 26 = 78