Question

What value of x would make lines land m parallel? ​

Answer 1

Answer:

$x = 75$

Step-by-step explanation:

Given

See attachment

Required

The value of x that makes l and m parallel

Let the angles be ABC (See attachment 2)

$\angle CAB$ is corresponding to 50 degrees. So:

$\angle CAB=50$

$\angle ABC$ is corresponding to 55 degrees. So:

$\angle ABC = 55$

This means that:

$\angle ABC + \angle CAB + x = 180$

$50 +55 + x = 180$

Solve for x

$x = 180 - 50 - 55$

$x = 75$