Owen is measuring the angles of a triangle. He knows that two of the angles have the same measure and the third angle has a measure of 100°. What is the measure of the other two angles?

Question

Responses
A 80°80°
B 130°130°
C 40°40°
D 260°

Answer 1

Let x be the measure of each of the two equal angles.

We know that the sum of the angles in a triangle is 180°:

x + x + 100 = 180

Simplifying:

2x + 100 = 180

2x = 80

x = 40

Therefore, each of the equal angles has a measure of 40°.

Answer: C) 40°40°