Answer:
L = 60°
M = 50°
N = 30°
P = 40°
Explanation:
inside angle = 180 = 2x + 2x + 20 + 3x - 10 + 2x - 10
- 180 - 20 + 10 + 10 = 2x + 2x + 3x + 2x
- 180 = 9x
- x = 180 / 9
- x = 20
substitute the value of x = 20 into angle L, M, N, P
L = 2x + 20
L = 2(20) + 20
L = 60°
M = 3x - 10
M = 3(20) - 10
M = 50°
N = 2x - 10
N = 2(20) - 10
N = 30°
P = 2x
P = 2(20)
P = 40°
check:
∠L + ∠M + ∠N + P = 180
60° + 50° + 30° + 40° = 180