4sfc828g6y 4sfc828g6y
  • 17-10-2020
  • Mathematics
contestada

Find the value of x
A.9
B.18
C.45
D.90

Find the value of x A9 B18 C45 D90 class=

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sqdancefan
sqdancefan sqdancefan
  • 17-10-2020

9514 1404 393

Answer:

  B.  18

Step-by-step explanation:

The vertical angles are supplementary to the same angle.

  4x +(2y+x) = 180

  (2y-x) +(2y+x) = 180

We can solve the second equation first to find the value of y:

  4y = 180 . . . . simplified

  2y = 90 . . . . .divide by 2

Substituting into the first equation, we have ...

  5x +2y = 180

  5x +90 = 180

  5x = 90

  x = 18  . . .  matches choice B

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