Question

Given 1 = 123° and 8 = 7z + 11.

What is the value of z, if lines a and b are parallel?

Answer 1

z = 16

Explanation:

Since a and b are parallel lines, then

∠ 1 and ∠ 8 are Alternate exterior angles and are congruent, thus

7z + 11 = 123 ( subtract 11 from both sides )

7z = 112 ( divide both sides by 7 )

z = 16

Answer 2

z=16

Explanation:

We know for sure that since A and B are parallel that 1, 4, 5, and 8 are equal.

So then the equation is simply 123=7z+11---> 7z=112----> z=16