Geometry

Question Analysis

This question focuses on using the concept of linear - pair angles to find the measure of ∠4. The main task is to apply the property related to linear pairs of angles.

 

Key Concept Explanation

A linear pair of angles consists of two adjacent angles that share 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 the sum of their measures is 180°. So, we can set up the equation m∠4 + 24° = 180°.

To find m∠4, we solve this equation for ∠4. Subtract 24° from both sides of the equation: m∠4 = 180° - 24°.

Performing the subtraction, 180° - 24° = 156°. So, m∠4 = 156°.

 

Common Mistakes

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