Question

after bisecting an angle, miranda has two new angles, each with a measure of 27.4°. what was the measure of the original angle?

Explanation:

Step1: Recall angle - bisector property

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

Step2: Calculate the original angle

If the two new angles formed by the angle - bisector each have a measure of $27.4^{\circ}$, then the original angle $\theta$ is given by $\theta=2\times27.4^{\circ}$.
$\theta = 54.8^{\circ}$

Answer:

$54.8^{\circ}$