The measure of one angle of a triangle is 115°. The other two angles are congruent. What is the measure of each angle?

115°

65°

57.5°

32.5°

The sum of the angles of the triangle is equal to 180°.

Let x be the measure of the each of the two angles. The equation that would best represent and relate the given measures of the angle is,

180 = x + x + 115

Group all variables and constants in each side of the equation.

180 - 115 = 2x

Simplifying,

65 = 2x

Divide the equation by 2,

32.5 = x

The value of x is equal to 32.5°.

Hence, the answer is the last choice.