Question

The measures of the angles in a triangle are in the ratio of 2:2:4. Find the exterior angle that is adjacent to the largest angle

Answer 1

The answer is 90 degrees

Explanation:

2 + 2 + 4 = 8

180 / 8 = 22.5

22.5 * 4 = 90

Answer 2

90°

Explanation:

Let there measures of the angles of a triangle are 2x, 2x and 4x.

We know that the sum of angles of a triangle is equal to 180°. So,

2x+2x+4x=180

8x=180

x = 22.5

We know that, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

So, the exterior angle = 4x = 4(22.5) = 90°