Question

Find the value of x so that f g. The diagram is not to scale.

A. 18
B. 23
C. 5.4
D.12

Answer 1

B

Explanation:

If f and g were parallel lines , then

2x and 7x - 27 are same- side interior angles and sum to 180°

sum the 2 angles , equate to 180 and solve for x

2x + 7x - 27 = 180 ( collect like terms on left side )

9x - 27 = 180 ( add 27 to both sides )

9x = 207 ( divide both sides by 9 )

x = 23

Then

For f and g to be parallel , then x = 23