A pair of parallel lines is cut by a transversal, as shown below. What is the measure of angle x? 10 degrees 15 degrees 45 degrees 60 degrees

Question

asked Aug 10, 2020 161k views

2 Answers

Chris Lercher · Answer 1 · 2020-08-14T19:43:04+0000

Answer:

$x=45\degree$

Explanation:

In the diagram, the measure of the
$(x+30\degree)$ angle is equal to the
$75\degree$ angle.

These two angles are alternate angles.

We therefore set up the following equation and solve for x.

$x+30\degree =75\degree$

$\Rightarrow x =75\degree-30\degree$

$\Rightarrow x =45\degree$