Question

What value of x would make lines l and m parallel?

Answer 1

X=(180-50-55)

x=75°

............

Answer 2

Answer:

A. $x=75^o$  

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the value of x that would make lines l and m parallel.

Since we know that corresponding angles formed by parallel lines are equal.  

We can see that angle x corresponds to angle that is between 55 degree and 50 degree angle, so to be line m parallel to l, the measure of x must be equal to that angle.

Since 55 degree, 50 degree and corresponding angle to x are supplementary angles, so we can set an equation as:

$55^o+50^o+x=180^o$

$105^o+x=180^o$  

$105^o-105^o+x=180^o-105^o$

$x=75^o$

Therefore, the value of $x=75^o$ will make lines l and m parallel and option A is the correct choice.