Question

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

Answer 1

Answer:

x = 90

Step-by-step explanation:

First, you'll want to take the three equations you see and set them up in an addition equation to add up to 360 like so...

• 4x + 2y + x + 2y - x = 360

Since two opposites add up to zero, they can be removed from the equation, therefore, removing (+ x) and (- x) from this equation:

• 4x + 2y + 2y = 360

Collect like terms (2y and + 2y):

• 4x + 4y = 360

Move the variable (+ 4y) to the right hand side of the equation and change its sign:

• 4x = 360 - 4y

Divide both sides of the equation by 4.

x = 90 - y

Ignore the i y and you got your answer. x = 90. Hope this helped!

Answer 2

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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