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Question
an angle is bisected, forming two new angles. each new angle has a measure of 80°. what was the measure of the original angle? submit
Step1: Recall angle bisector definition
An angle bisector divides an angle into two equal - measure angles.
Step2: Calculate the original angle
If each of the two new angles (formed by bisecting the original angle) has a measure of \(80^{\circ}\), then the measure of the original angle is the sum of the measures of these two angles. So we calculate \(80^{\circ}+ 80^{\circ}\).
\(80 + 80=160\)
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\(160\)