Supplementary angles are two angles that add up to 180 degrees. Think of a straight line – it forms an angle of 180 degrees. If you split that line with another line, you create two angles that are supplementary. Understanding this concept is crucial for geometry and beyond!
This worksheet will help you practice identifying and working with supplementary angles. Get ready to sharpen your skills and become an angle expert! 📐
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Supplementary Angles | a. An angle that measures less than 90 degrees |
| 2. Straight Angle | b. Two angles that share a common vertex and side |
| 3. Adjacent Angles | c. An angle that measures exactly 180 degrees |
| 4. Acute Angle | d. Two angles whose measures add up to 90 degrees |
| 5. Complementary Angles | e. Two angles whose measures add up to 180 degrees |
Answers: 1-e, 2-c, 3-b, 4-a, 5-d
Complete the following paragraph using the words provided: 180, supplementary, angle, degrees, straight.
Two angles are considered ___________ if their measures add up to ___________ __________. A __________ line forms an __________ of 180 __________.
Answer: supplementary, 180, degrees, straight, angle
Can two acute angles be supplementary? Explain your answer.
Answer: No, two acute angles cannot be supplementary. Acute angles are angles that measure less than 90 degrees. If you add two angles that are each less than 90 degrees, the sum will always be less than 180 degrees. For example, if we take the largest possible acute angle that is 89 degrees and add it to another 89-degree angle, then the result is 178 degrees which is less than 180 degrees. Therefore, it is impossible for two acute angles to add up to 180 degrees.
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