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?

Answer 1

Since the three angles of a triangle always add up to 180°, we can set up an equation to solve for the measure of the other two angles:

Let x be the measure of the two equal angles.

x + x + 100 = 180
2x + 100 = 180
2x = 80
x = 40

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