Question

(a) an angle measures $59^\circ$. what is the measure of its complement?
(b) an angle measures $120^\circ$. what is the measure of its supplement?
measure of the complement: $\square^\circ$
measure of the supplement: $\square^\circ$

Explanation:

Step1: Define complementary angles

Complementary angles sum to $90^\circ$.

Step2: Calculate complement of $59^\circ$

$90^\circ - 59^\circ = 31^\circ$

Step3: Define supplementary angles

Supplementary angles sum to $180^\circ$.

Step4: Calculate supplement of $120^\circ$

$180^\circ - 120^\circ = 60^\circ$

Answer:

measure of the complement: $31^\circ$
measure of the supplement: $60^\circ$