Question

Can i get help please i dont understand this

Answer 1

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