Question

an angle is bisected, forming two new angles. each new angle has a measure of 22°. 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 is \(22^{\circ}\), the original angle is the sum of these two angles.

Step2: Calculate the original angle

Let the measure of the original angle be \(x\). Since the angle is bisected into two angles of \(22^{\circ}\) each, we have \(x = 22^{\circ}+ 22^{\circ}\).
\(x=44^{\circ}\)

Answer:

\(44\)