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after bisecting an angle, erik has two new angles, each with a measure …

Question

after bisecting an angle, erik has two new angles, each with a measure of 93°. what was the measure of the original angle?

Explanation:

Step1: Recall angle bisector definition

Angle bisector divides an angle into two equal angles. So original angle is sum of two bisected angles.

Step2: Calculate original angle

Each bisected angle is \(93^\circ\), so original angle \(= 93^\circ + 93^\circ\)
\(= 186^\circ\)

Answer:

\(186^\circ\)