Question

The angles of a triangle are in the ratio
2:3:5. find the measures of each angle of
the triangle

guys for 8th standard ​

Answer 1

Answer:

36°, 54°, 90°

Step-by-step explanation:

Given -

The angles of a triangle are in ratio 2 : 3 : 5

To find -

Each of the angles

Solution -

Let us consider angles as 2x, 3x and 5x respectively

We know that,

sum of all angles of triangle = 180°

=> 2x + 3x + 5x = 180°

=> 10x = 180°

=> x = 180°÷10

=> x = 18°

First angle = 2x = 2×18° = 36°

Second angle = 3x = 3×18° = 54°

Third angle = 5x = 5×18° = 90°

Angles are in ratio 2:3:5, so our answer is correct.

hope it helps.