Question

Find the measures of the angles of each triangle. The ratio of the measures of the three angles is 3:6:1.

Answer 1

Let the three angles of the triangle be 3x, 6x, and x.

The sum of the angles in a triangle is 180 degrees, so:

3x + 6x + x = 180

10x = 180

x = 18

So the angles are:

3x = 3(18) = 54 degrees

6x = 6(18) = 108 degrees

x = 18 degrees

Therefore, the measures of the angles in the triangle are 54 degrees, 108 degrees, and 18 degrees.