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 VSW\angle VSW and TSW\angle TSW, which appear to be adjacent angles forming a straight line.

Here’s how we analyze the angles:

  • VSW\angle VSW and TSW\angle TSW share a common side, SWSW, 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:

  1. What are complementary angles, and how do they differ from supplementary angles?
  2. Can two acute angles be supplementary?
  3. What are vertical angles, and how are they different from adjacent angles?
  4. Can supplementary angles ever both be obtuse?
  5. 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