The worksheet contains 8 problems involving linear pairs. In each problem, two angles form a straight line, so their measures add up to 180°. We’ll solve each one step by step.
---
Problem 1 (Top Left):
Angles: 2x + 5 and 65°
Equation: (2x + 5) + 65 = 180
→ 2x + 70 = 180
→ 2x = 110
→ x = 55
✔
---
Problem 2 (Top Right):
Angles: 136° and 4x + 12
Equation: 136 + (4x + 12) = 180
→ 4x + 148 = 180
→ 4x = 32
→ x = 8
✔
---
Problem 3 (Second Row Left):
Angles: 45° and 5x + 25
Equation: 45 + (5x + 25) = 180
→ 5x + 70 = 180
→ 5x = 110
→ x = 22
✔
---
Problem 4 (Second Row Right):
Angles: 7x - 8 and 76°
Equation: (7x - 8) + 76 = 180
→ 7x + 68 = 180
→ 7x = 112
→ x = 16
✔
---
Problem 5 (Third Row Left):
Angles: 3x - 17 and 122°
Equation: (3x - 17) + 122 = 180
→ 3x + 105 = 180
→ 3x = 75
→ x = 25
✔
---
Problem 6 (Third Row Right):
Angles: 80° and 8x - 36
Equation: 80 + (8x - 36) = 180
→ 8x + 44 = 180
→ 8x = 136
→ x = 17
✔
---
Problem 7 (Bottom Left):
Angles: 4x - 30 and 106°
Equation: (4x - 30) + 106 = 180
→ 4x + 76 = 180
→ 4x = 104
→ x = 26
✔
---
Problem 8 (Bottom Right):
Angles: x + 40 and 52°
Equation: (x + 40) + 52 = 180
→ x + 92 = 180
→ x = 88
✔
---
Final Answer:
x = 55, 8, 22, 16, 25, 17, 26, 88
Parent Tip: Review the logic above to help your child master the concept of geometric angles worksheet.
