Math Problem Statement

complementary90°sum180°differencesupplementary Use the word bank to fill in the blanks below to make the statements TRUE. Not all words will be used.

Two angles that have a of 180° are .

Solution

Two angles that have a sum of 180° are supplementary.

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Here are some related questions:

  1. What are complementary angles, and how do they differ from supplementary angles?
  2. Can two obtuse angles be supplementary? Why or why not?
  3. How do we identify complementary angles in geometric problems?
  4. Are two right angles always supplementary? Explain.
  5. What is the difference between adjacent and non-adjacent supplementary angles?

Tip: Supplementary angles do not have to be adjacent; they just need to add up to 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Relationships

Formulas

Sum of supplementary angles equals 180°

Theorems

Supplementary Angles Theorem

Suitable Grade Level

Grades 6-8