Geometry

Question Analysis

This question involves the concept of angle bisection.

 

Key Concept Explanation

When an angle is bisected, it is divided into two equal - measure angles. So, the measure of the original angle is two times the measure of each of the resulting angles.

 

Step - by - Step Solution

1. We know that each of the new angles formed by bisection has a measure of 77°.

2. To find the measure of the original angle, we use the formula: Original angle = 2×Measure of each bisected angle.

Substitute the value of the bisected angle into the formula: Original angle = 2×77°.

Calculate 2×77° = 154°.

 

Common Mistakes...