Question

if an angle is bisected to form two new 61.1° angles, what was the measure of the original angle?

Explanation:

Step1: Recall angle - bisection concept

The original angle is twice the bisected angle.

Step2: Calculate original angle

Let the original angle be $\theta$. Since the bisected angles are each $61.1^{\circ}$, then $\theta=2\times61.1^{\circ}$.
$2\times61.1^{\circ}=122.2^{\circ}$

Answer:

$122.2$