Math Problem Statement
What are the measures of the various angles in the four geometry problems?
Solution
Let's analyze and solve the four questions from the uploaded image:
1. What is the measure of angle 1?
- Given: There is a straight line, and angles are provided as 145° and 40°.
- Solution: The sum of angles on a straight line is 180°. Let angle 1 be represented by . Then: Solving for :
- Answer: 75 degrees (Option C).
2. , . What is the measure of ?
- Given: , .
- Solution: This is a straight line with supplementary angles. The sum of , , and should be 180°. Solving for :
- Answer: 30 degrees (Not listed directly, but this might be the closest option).
3. What is the measure of ?
- Given: There are correspondingdegrees.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles
Straight Lines
Supplementary Angles
Formulas
Sum of angles on a straight line = 180°
Supplementary angles sum = 180°
Theorems
Angle Sum Property of Straight Lines
Supplementary Angles Theorem
Suitable Grade Level
Grades 6-8
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