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 \(90^{\circ}\) (since the sum of angles in a triangle is \(180^{\circ}\) and one angle is \(90^{\circ}\)). Angle \(A = 59^{\circ}\) and angle \(B=31^{\circ}\), and \(59^{\circ}+ 31^{\circ}=90^{\circ}\). Complementary angles are two angles whose sum is \(90^{\circ}\), so angles \(A\) and \(B\) are complementary.

Answer:

They are complementary.