Question

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

Answer 1

Answer:

9. x = 45°

10. x = 55°

11. x = 9°

Step-by-step explanation:

$9. \: x + x + 2x = 180 \\ 4x = 180 \\ x = \frac{180}{4} \\ x = 45$

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

$11. \: 4x + 3x + 13x = 180 \\ 20x = 180 \\ x = \frac{180}{20} \\ x = 9$