Question

If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?

A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°

Answer 1

B. x = 50; m∠LOK = 114°

Explanation:

Supplementary angles add to 180

∠MOK + ∠JOM=180

66+ ∠JOM=180

<JOM = <LOK since they are vertical angles

<LOK = x+64

66+ x+64=180

Combine like terms

130+x = 180

x = 180-130

x = 50

<LOK = x+64 = 50+64 = 114