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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°

If MOK and JOM are supplementary angles then what is the value of x and mLOK A x 130 mLOK 66 B x 50 mLOK 114 C x 114 mLOK 50 D x 66 mLOK 130 class=

Respuesta :

wegnerkolmp2741o

Answer:

B. x = 50; m∠LOK = 114°

Step-by-step 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

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