Math Problem Statement

complementary

90°

supplementary

sum

180°

difference

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.

Would you like further explanation or have any questions?

Here are some related questions to expand your understanding:

  1. What are complementary angles, and how do they differ from supplementary angles?
  2. Can two obtuse angles ever be complementary or supplementary? Why or why not?
  3. How do you find the complement or supplement of a given angle?
  4. If two angles are supplementary, what can you say about their measures?
  5. Are adjacent angles always supplementary?

Tip: Remember, complementary angles add up to 90°, while supplementary angles add up to 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles
Supplementary Angles
Complementary Angles

Formulas

Sum of supplementary angles = 180°
Sum of complementary angles = 90°

Theorems

Supplementary Angles Theorem
Complementary Angles Theorem

Suitable Grade Level

Grades 6-8