Question

after bisecting an angle measuring 49.2°, lila has two angles. what is the measure of each new angle?

Explanation:

Step1: Recall angle - bisecting concept

An angle - bisector divides an angle into two equal parts.

Step2: Calculate the new angle

Let the original angle be $\theta = 49.2^{\circ}$. After bisecting, the measure of each new angle $\alpha=\frac{\theta}{2}$. Substituting $\theta = 49.2^{\circ}$, we get $\alpha=\frac{49.2^{\circ}}{2}=24.6^{\circ}$.

Answer:

$24.6^{\circ}$