Question

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

triangle.
9, 10, and 11

Answer 1

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 \\`