Question

an angle is bisected, forming two new angles. each new angle has a measure of 91°. what was the measure of the original angle?

Explanation:

Step1: Recall bisection concept

The original angle is twice the new - formed angle.

Step2: Calculate original angle

Let the original angle be $\theta$. Since the new angles are 91° each and $\theta = 2\times91^{\circ}$. So, $\theta=182^{\circ}$.

Answer:

$182$