Geometry

Question Analysis

This question focuses on using the properties of angle relationships to find the measure of ∠3. The main task is to apply the concept related to the linear - angle (linear - pair) relationship between ∠3 and the 48° angle.

 

Key Concept Explanation

A linear pair of angles consists of two adjacent angles sharing a common vertex and a common side, with their non - common sides forming a straight line. The sum of the measures of angles in a linear pair is 180°.

 

Step - by - Step Solution

According to the property of linear pairs, we know that m∠3 + 48° = 180°.

To find m∠3, we solve this equation for ∠3. Subtract 48° from both sides of the equation: m∠3=180° - 48°.

Performing the subtraction, 180° - 48° = 132°. So, m∠3 = 132°.

 

Common Mistakes

Forgetting the 180° sum property of a linear pair and using incorrect ...