Question

after bisecting an angle, ann has two new angles, each with a measure of 58.6°. what was the measure of the original angle?

Explanation:

Step1: Recall angle bisector definition

An angle bisector divides an angle into two equal - measure angles. So if each of the new angles has a measure of \(58.6^{\circ}\), the original angle is the sum of these two equal - measure angles.

Step2: Calculate the original angle

To find the original angle, we add the measures of the two angles formed by the bisector. Let the measure of the original angle be \(x\). Then \(x = 58.6^{\circ}+58.6^{\circ}\). Using the formula for addition of decimals, \(58.6 + 58.6=117.2\). So \(x = 117.2^{\circ}\).

Answer:

\(117.2\)