Math Problem Statement
Look at ∠VSW and ∠TSW in the image below. Which of the following is the best description for this pair of angles?
Solution
The angles mentioned in the image are and , which appear to be adjacent angles forming a straight line.
Here’s how we analyze the angles:
- and share a common side, , and together form a straight line (a linear pair).
- A linear pair of angles always adds up to 180 degrees, meaning they are supplementary angles.
Thus, the correct answer is supplementary.
Would you like more details, or do you have any other questions?
Here are 5 related questions for further exploration:
- What are complementary angles, and how do they differ from supplementary angles?
- Can two acute angles be supplementary?
- What are vertical angles, and how are they different from adjacent angles?
- Can supplementary angles ever both be obtuse?
- What is the difference between adjacent angles and linear pairs?
Tip: When two angles are supplementary, their measures always add up to 180°, even if they are not adjacent.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles
Linear Pairs
Supplementary Angles
Formulas
Supplementary Angles: ∠1 + ∠2 = 180°
Theorems
Linear Pair Postulate
Suitable Grade Level
Grades 6-8