Question

The sum of the measures of the angles of all triangles is 180 degrees. If one angle of the triangle measure 45 degrees. The measure of the other two angles is equal. What is the measure of the other two angles? Write an equation and solve

Answer 1

180-45=135
135/2=67.5 for the other two angles

Answer 2

67.5 degrees.

Explanation:

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

The sum of the measures of the angles of all triangles is 180 degrees.

Hence, the equation is

x + x + 45 = 180

Solve the equation for x

2x + 45 = 180

2x = 180 - 45

2x = 135

x = 67.5

Therefore, measure of other two angles are 67.5 degrees.