Question

Line WX is parallel to line YZ. If m∠VAW = (x + 72)° and m∠XAB = (2x - 12)°, find the value of x.
A. 84
B. 28
C. 20
D. 60

Answer 1

Answer: x = 84

Step-by-step explanation:

Angle VAW and and angle XAB are vertically opposite angles. Vertically opposite angles are equal or congruent. Since angle VAW = (x + 72) degrees and angle XAB = (2x - 12), it means that

x + 72 = 2x - 12

2x - 12 = x + 72

Subtracting x from the Left hand side and the right hand side of the equation, it becomes

2x - x - 12 = x - x + 72

x - 12 = 72

Adding 12 to the Left hand side and the right hand side of the equation, it becomes

x - 12 + 12 = 72 + 12

x = 84 degrees

Answer 2

Answer:

$x=$84

Step-by-step explanation:

Given:

∠VAW = (x + 72)°

∠XAB = (2x - 12)°

 x=?

As, ∠VAW and ∠XAB are vertically opposite angles.

Therefore:       ∠VAW=∠XAB

          $(x + 72)=(2x - 12)\\\\x+72=2x-12$

Subtracting x from both side;

           $x-12=72$

Adding '12' to both sides:

           $x-12+12=72+12\\\\x=84$

So, the value of 'x' is 84