Question

an angle is bisected, forming two new angles. each new angle has a measure of 46.5°. what was the measure of the original angle?

Explanation:

Step1: Recall angle - bisection concept

The original angle is twice the new angle after bisection.

Step2: Calculate the original angle

Let the original angle be $\theta$. Since each new angle is $46.5^{\circ}$, then $\theta = 2\times46.5^{\circ}$.
$\theta=93^{\circ}$

Answer:

$93^{\circ}$