Question

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

Answer 1

`x = 75`

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`