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:

Step1: Recall right triangle angle sum

Sum of angles in $\triangle ABC$ is $180^\circ$, $\angle C = 90^\circ$.

Step2: Calculate sum of $\angle A + \angle B$

$\angle A + \angle B = 180^\circ - 90^\circ = 90^\circ$

Step3: Define complementary angles

Two angles summing to $90^\circ$ are complementary.

Answer:

They are complementary.