Question

Solve for x and then find the measure of each angle.

Answer 1

x is 60

and all angles

60 120 130 50

Answer 2

∠K = 60°

∠N = 120°

∠M = 130°

∠L = 50°

Explanation:

Sum of all the angles = 360

x + 2x + 3x - 50 + x -10 = 360

x +2x + 3x + x - 50 - 10 = 360

7x - 60 = 360

7x = 360 + 60

7x = 420

x = 420/7

x = 60

∠K = 60°

∠N = 2*60 = 120°

∠M = 3*60 - 50 = 180 - 50 = 130°

∠L = 60 - 10 = 50°