An isosceles triangle has base angles that each measure 62°. Which equation can be used to find x, the measure of the third angle of this isosceles triangle in degrees?

Answer 1

The sum of the angles in a triangle is always 180°.

Since the base angles in an isosceles triangle are equal, each base angle measures 62°. Therefore, the sum of the two base angles is 62° + 62° = 124°.

Let x represent the measure of the third angle.

The equation to find x is:
62° + 62° + x = 180°

Therefore, x = 180° - 124° = 56°

So, the measure of the third angle of this isosceles triangle is 56°.