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If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
A.
x = 6; m∠XOY = 20°
B.
x = 18; m∠XOY = 6°
C.
x = 20; m∠XOY = 6°
D.
x = 6; m∠XOY = 18°

If WOZ and WOX are supplementary angles and WOX and XOY are complementary angles then what is the value of x and mXOY A x 6 mXOY 20 B x 18 mXOY 6 C x 20 mXOY 6 class=

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wegnerkolmp2741o

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX  = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY  = 3x = 3*6 = 18

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