Question

If x. 5x and 6x are the measures of the

angles of a triangle, find x. Is the triangle
acute, right or obtuse?

Answer 1

Since one of the angles is 90°, the triangle is right.

Explanation:

Angles in a Triangle

The sum of angles in a triangle is 180°. We are given the angles are x, 5x, and 6x, thus:

x + 5x + 6x = 180

Simplifying:

12x = 180

Dividing by 12:

x = 180/12 = 15

x = 15°

5x = 75°

6x = 90°

Since one of the angles is 90°, the triangle is right.