Write and solve an equation to determine the measures of the angles in each triangle. 9, 10, and 11

asked Mar 1, 2022 94.2k views

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Write and solve an equation to determine the measures of the angles in each

triangle.
9, 10, and 11

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1 vote

Answer:

9. x = 45°

10. x = 55°

11. x = 9°

Explanation:

$9. \: x + x + 2x = 180 \\ 4x = 180 \\ x = (180)/(4) \\ x = 45$

$10. \: x + (x - 2) + 72 = 180 \\ x + x - 2 + 72 = 180 \\ 2x + 70 = 180 \\ 2x = 180 - 70 \\ 2x = 110 \\ x = (110)/(2) \\ x = 55 \\$

$11. \: 4x + 3x + 13x = 180 \\ 20x = 180 \\ x = (180)/(20) \\ x = 9 \\$

Ruhungry answered Mar 5, 2022

7.6k points

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