Question

draw a pair of complementary angles with measures to prove they are complementary.

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is 90 degrees.

Step2: Draw the angles

Draw an angle $\angle A = 30^{\circ}$ and another angle $\angle B=60^{\circ}$.

Step3: Calculate the sum of the angles

$\angle A+\angle B = 30^{\circ}+ 60^{\circ}=90^{\circ}$. Since the sum of the measures of $\angle A$ and $\angle B$ is 90 degrees, they are complementary.

Answer:

Draw an angle of 30 degrees and an angle of 60 degrees. Since $30 + 60=90$, they are complementary.