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๐ Topic Summary
Complementary angles are two angles that add up to $90^{\circ}$. Think of it as a right angle split into two smaller angles. Supplementary angles, on the other hand, are two angles that add up to $180^{\circ}$. This is like a straight line divided into two angles. Knowing these definitions helps you solve all sorts of geometry problems!
๐ง Part A: Vocabulary
Match the term with its definition:
- Acute Angle
- Obtuse Angle
- Right Angle
- Complementary Angles
- Supplementary Angles
Definitions:
- Two angles whose sum is $180^{\circ}$
- An angle whose measure is greater than $90^{\circ}$ but less than $180^{\circ}$
- An angle whose measure is $90^{\circ}$
- An angle whose measure is less than $90^{\circ}$
- Two angles whose sum is $90^{\circ}$
โ๏ธ Part B: Fill in the Blanks
Complete the following sentences:
Two angles are considered __________ if the sum of their measures is $90^{\circ}$. Two angles are considered __________ if the sum of their measures is __________. A __________ angle measures less than $90^{\circ}$, while an __________ angle measures greater than $90^{\circ}$ but less than $180^{\circ}$. A straight angle measures __________.
๐ค Part C: Critical Thinking
Explain in your own words how knowing whether two angles are complementary or supplementary can help you find the measure of an unknown angle.
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