Question

triangle abc is a right triangle.
what is the relationship between angles a and b?
○ they are congruent.
○ they are complementary.
○ they are supplementary.
○ there is no relationship between them.

Explanation:

In a right triangle, the sum of the two non - right angles is equal to \(90^{\circ}\) (since the sum of all angles in a triangle is \(180^{\circ}\) and one angle is \(90^{\circ}\)). Angles A and B are the non - right angles of right triangle ABC. We can also check by adding their measures: \(59^{\circ}+31^{\circ} = 90^{\circ}\). Complementary angles are defined as two angles whose sum is \(90^{\circ}\), so angles A and B are complementary.

Answer:

They are complementary.