Question

question 20 of 49 if angles a and b are consecutive interior angles, what is the measure of angle b if angle a measures 75°? a. 90° b. 75° c. 180° d. 105°

Explanation:

Step1: Recall property of consecutive interior angles

Consecutive interior angles are supplementary, meaning their sum is 180°. So, $\angle A+\angle B = 180^{\circ}$.

Step2: Substitute the value of $\angle A$

Given $\angle A = 75^{\circ}$, we have $75^{\circ}+\angle B=180^{\circ}$.

Step3: Solve for $\angle B$

$\angle B=180^{\circ}- 75^{\circ}=105^{\circ}$.

Answer:

D. 105°