Question

if angle b = 137 degrees, what is the measure of angle a? multiple - choice question 43 degrees 53 degrees 180 degrees 137 degrees

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180 degrees. So, $\angle A+\angle B = 180^{\circ}$.

Step2: Solve for $\angle A$

Given $\angle B = 137^{\circ}$, then $\angle A=180^{\circ}-\angle B$. Substitute $\angle B = 137^{\circ}$ into the formula: $\angle A = 180 - 137=43^{\circ}$.

Answer:

43 degrees