Geometry

Question Analysis

This question involves the concept of angle bisection.

 

Key Concept Explanation

An angle bisector divides an angle into two equal - sized angles. So, the measure of the original angle is two times the measure of each of the angles formed by the bisection.

 

Step - by - Step Solution

1. Identify the measure of each of the bisected angles, which is 43°.

2. Use the relationship: Original angle = 2×Measure of bisected angle.

Substitute the value: Original angle = 2×43°.

Calculate: 2×43° = 86°.

 

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