Triangle Sum Theorem practice problems worksheet with eight exercises involving angle calculations in triangles.

A worksheet titled "Triangle Sum Theorem Practice Problems" with eight numbered geometry problems involving triangles and angle measurements, including finding missing angles and solving for x.

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Show Answer Key & Explanations Step-by-step solution for: Kutatriangle Sum Theorem | PDF

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1) 55° + 70° + ? = 180°
125° + ? = 180°
? = 180° - 125°
? = 55°

2) 35° + 85° + ? = 180°
120° + ? = 180°
? = 180° - 120°
? = 60°

3) ? + 80° + 39° = 180°
? + 119° = 180°
? = 180° - 119°
? = 61°

4) 85° + 35° + ? = 180°
120° + ? = 180°
? = 180° - 120°
? = 60°

5) 30° + (66 + x)° + 90° = 180°
30° + 66° + x° + 90° = 180°
186° + x° = 180°
x° = 180° - 186°
x° = -6°
x = -6

6) 60° + 30x° + 90° = 180°
150° + 30x° = 180°
30x° = 180° - 150°
30x° = 30°
x = 1

7) (x + 44)° + 55° + 90° = 180°
x° + 44° + 55° + 90° = 180°
x° + 189° = 180°
x° = 180° - 189°
x° = -9°
x = -9

8) (-10 + 5x)° + 40° + 90° = 180°
-10° + 5x° + 40° + 90° = 180°
5x° + 120° = 180°
5x° = 180° - 120°
5x° = 60°
x = 12

Parent Tip: Review the logic above to help your child master the concept of triangle sum theorem worksheet.

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