Interior Angles of Triangles worksheet with algebraic expressions for angles in triangles.

Worksheet titled "Interior Angles of Triangles" with five problems involving algebraic expressions for triangle angles, requiring students to write and solve equations to find angle measures.

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Show Answer Key & Explanations Step-by-step solution for: Unit 8 Lesson 3 Homework (Interior Angles of Triangles) - Josh ...

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1. Equation & Work: 4x + (7x - 2) + (5x - 10) = 180 → 16x - 12 = 180 → 16x = 192 → x = 12
Angle Measures: ∠A = 48°, ∠B = 82°, ∠C = 50°

2. Equation & Work: 3x + 18x + (5x - 2) = 180 → 26x - 2 = 180 → 26x = 182 → x = 7
Angle Measures: ∠D = 21°, ∠E = 126°, ∠F = 33°

3. Equation & Work: 16x + 16x + 13x = 180 → 45x = 180 → x = 4
Angle Measures: ∠G = 64°, ∠H = 64°, ∠I = 52°

4. Equation & Work: (x + 8) + (6x - 5) + (2x - 3) = 180 → 9x = 180 → x = 20
Angle Measures: ∠J = 28°, ∠K = 115°, ∠L = 37°

5. Equation & Work: Let ∠M = x, then ∠N = 5x, ∠O = 4x. So x + 5x + 4x = 180 → 10x = 180 → x = 18
Angle Measures: ∠M = 18°, ∠N = 90°, ∠O = 72°

Parent Tip: Review the logic above to help your child master the concept of angle relationships in triangles worksheet.

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