Question

Use the following image to solve for the value of x if m∠3 = 6x + 42 and m∠6 = 18x -12.

A. x = 4.5

B. x = 8.75

C. x = 2.5

D. x = 6.25

Answer 1

The value of x would be 2.5 if angle 3 = 6x + 42 and angle 6 = 18x- 12.

As in the given image we can see that 2 parallel lines are there and they are intersected by a transversal.

Now we can see that angle 3 = angle 6 because when 2 lines are parallel and they are intersected by a transversal the alternate interior angles are going to be equal.

So ,

angle 3 = angle 6

We are given that angle 3 = 6x + 42 and angle 6 = 18x -12

We can equate both of them to find the value of x .

So ,

angle 3 = angle 6

6x + 42 = 18x - 12

-12x = -20

x = 20/12

x = 2.5

So , the value of x is going to be 2.5.