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Exterior Angle Sum Theorem Coloring Design

A colorful geometric design illustrating the Exterior Angle Sum Theorem, featuring triangles with labeled angles and a vibrant patterned background.

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Show Answer Key & Explanations Step-by-step solution for: TRIANGLES: EXTERIOR ANGLE SUM THEOREM #1 COLORING ACTIVITY

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- For the first triangle: x° = 46°
- For the second triangle: 8x° = 32°, so x = 4
- The exterior angle is equal to the sum of the two non-adjacent interior angles.
- In the first triangle: x° + 70° = 116° → x° = 46°
- In the second triangle: (5x + 3)° + 8x° = (15x - 7)° → 13x + 3 = 15x - 7 → 2x = 10 → x = 5
- Then 8x° = 8 × 5 = 40°
- Correction: Recalculate second triangle: (5x + 3) + 8x = 15x - 7 → 13x + 3 = 15x - 7 → 10 = 2x → x = 5 → 8x° = 40°
- Final values: First triangle x = 46; Second triangle x = 5, 8x = 40

Parent Tip: Review the logic above to help your child master the concept of exterior angle theorem worksheet with answer key.

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