3.2 geometry worksheet

Answer/Step-by-step explanation:

9. 17x = 16x + 5 (alternate exterior angle)

17x - 16x = 5

x = 5

Measure of bolded angle = 17x = 17 * 5 = 85

10. 21x - 6 = 20x (corresponding angels)

21x - 20x = 6

x = 6

Measure of bolded angle = 20x = 20(6) = 120

11. (x + 95) + (x + 105) = 180 (linear pair angles)

2x + 200 = 180

2x = 180 - 200

2x = -20

Divide both sides by 2

x = -10

Measure of bolded angle = x + 105 = -17 + 105 = 88°

12. 12x - 4 = 11x + 3 (vertical angles)

Collect like terms

12x - 11x = 4 + 3

x = 7

Measure of bolded angle = 11x + 3 = 77 + 3 = 80°

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step-by-step explanation:

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