Question

The two lines intersected by the transversal are parallel. If m/1 =(8x) and m/2= (10x - 18) what is the value of x?

A.1
B.9
C.11
D.6

Answer 1

x = 9

Explanation:

Given:

m<1 = 8x

m<2 = (10x - 18)

Required:

Value of x

Solution:

<1 and <2 are alternate exterior angles. Alternate exterior angles are congruent. Therefore:

m<1 = m<2

8x = 10x - 18 (substitution)

Solve for x

8x - 10x = -18

-2x = -18

-2x/-2 = -18/-2

x = 9