Let's solve each problem step by step.
🔍 Understanding Supplementary Angles
Supplementary angles are two angles that add up to
180 degrees.
So, if one angle is given, the missing angle can be found using:
>
Missing angle = 180° − Given angle
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Now let's solve each problem:
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1)
Given: 53.7°
Missing angle = 180° − 53.7° =
126.3°
✔ Answer: 126.3°
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2)
Given: 115.2°
Missing angle = 180° − 115.2° =
64.8°
✔ Answer: 64.8°
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3)
Given: 111.1°
Missing angle = 180° − 111.1° =
68.9°
✔ Answer: 68.9°
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4)
Given: 78.2°
Missing angle = 180° − 78.2° =
101.8°
✔ Answer: 101.8°
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5)
Given: 140.7°
Missing angle = 180° − 140.7° =
39.3°
✔ Answer: 39.3°
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6)
Given: 43.5°
Missing angle = 180° − 43.5° =
136.5°
✔ Answer: 136.5°
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7)
Given: 77.1°
Missing angle = 180° − 77.1° =
102.9°
✔ Answer: 102.9°
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8)
Given: 42.5°
Missing angle = 180° − 42.5° =
137.5°
✔ Answer: 137.5°
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✔ Final Answers:
1)
126.3°
2)
64.8°
3)
68.9°
4)
101.8°
5)
39.3°
6)
136.5°
7)
102.9°
8)
137.5°
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Parent Tip: Review the logic above to help your child master the concept of geometry 7th grade worksheet.