Math worksheet for solving exterior angles of triangles with step-by-step solutions.

A math worksheet titled "Angles of Triangles" with problems to solve for exterior angles, showing triangles with labeled angles and algebraic equations to find the unknown angle X.

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1. 180° = 46° + 77° + (180° - X)
180° = 123° + (180° - X)
180° - 123° = 180° - X
57° = 180° - X
X = 180° - 57°
X = 123°

2. 180° = 90° + 47° + (180° - X)
180° = 137° + (180° - X)
180° - 137° = 180° - X
43° = 180° - X
X = 180° - 43°
X = 137°

3. 180° = 64° + 73° + (180° - X)
180° = 137° + (180° - X)
180° - 137° = 180° - X
43° = 180° - X
X = 180° - 43°
X = 137°

4. 180° = 39° + 59° + (180° - X)
180° = 98° + (180° - X)
180° - 98° = 180° - X
82° = 180° - X
X = 180° - 82°
X = 98°

5. X = 180° - 65° - 40°
X = 115° - 40°
X = 75°

6. X = 180° - 75° - 50°
X = 105° - 50°
X = 55°

7. 180° = 90° + 39° + (180° - X)
180° = 129° + (180° - X)
180° - 129° = 180° - X
51° = 180° - X
X = 180° - 51°
X = 129°

8. 180° = 44° + 50° + (180° - X)
180° = 94° + (180° - X)
180° - 94° = 180° - X
86° = 180° - X
X = 180° - 86°
X = 94°

Parent Tip: Review the logic above to help your child master the concept of geometric angles worksheet.

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Math worksheet for solving exterior angles of triangles with step-by-step solutions.

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