Geometry

Question Analysis:

This question involves finding the measure of an angle () using the properties of angles on a straight - line. The main focus is applying the concept that the sum of angles on a straight - line is .

 

Key Concept Explanation:

Angles on a straight - line theorem states that if several adjacent angles are formed on a straight - line, the sum of their measures is . In this case, and are adjacent angles on the straight - line , so .

 

Step - by - Step Solution:

1. Identify the given angle and the angle - relationship:

We are given that , and and

Click "Show Answer" to reveal the answer and analysis