Question

A right isosceles triangle has an angle with measure of 45°. If x represents the measure of the third angle of the triangle, what is x?

Answer 1

x = 45°

Explanation:

"Isosceles" means the base angles are congruent: they both have the same measure, 45°. (The hypotenuse is the "base" for this isosceles triangle.)

The acute angles of a right triangle are complementary, so the third angle can also be found as 90° -45° = 45°.