# The measures of the angles in a triangle are in the extended ratio 3 : 4 : 8. What are the measures of the angles?

A triangle is a polygon with three sides, three angles, and three vertices. The sum of interior angles of a triangle is 180º.

## Answer: The measures of angles are 36º, 48º and 96º.

Let us find the angles to this triangle.

**Explanation:**

Given that the angles in the triangle are in the ratio of 3 : 4 : 8.

Let the triangle be named as ABC and its angles be 3x, 4x and 8x.

By angle sum property of triangle,

⇒ 3x + 4x + 8x = 180º

⇒ 15x = 180º

⇒ x = 180º / 15

⇒ x = 12º

The measures of angles are:

- 3x = 3 × 12º = 36º
- 4x = 4 × 12º = 48º
- 8x = 8 × 12º = 96º