Question

after bisecting an angle, gavin has two new angles, each with a measure of 61.4°. what was the measure of the original angle?

Explanation:

Step1: Recall angle - bisection concept

The original angle is twice the bisected angle.

Step2: Calculate the original angle

Let the original angle be $\theta$. Since the bisected angles are each $61.4^{\circ}$, we have $\theta = 2\times61.4^{\circ}$.
$\theta=122.8^{\circ}$

Answer:

$122.8^{\circ}$