Question

The ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?

Answer 1

The angles are 36° , 54° and 90°

Explanation:

Sum of interior angles of a polygon is given by 180(n - 2) where n is the number of sides.

Sum of interior angles of a triangle is 180(3 - 2) = 180°

The ratio of the interior angles is 2:3:5

So 2 + 3 + 5 should be equal to 180°

If 10 = 180°

Then 2 is 360°/10 = 36°

And 3 is 540°/10 = 54°

And 5 is 900°/10 = 90°