Question

A pair of parallel lines is cut by a transversal:

Answer 1

Answer:

x = 45°

Step-by-step explanation:

It a transversal line intersect two parallel lines, then alternative interior angles are congruent.

From the below graph it is clear that the line m and n are two parallel lines and l is a transversal line.

$\angle ABC\cong \angle BCD$          (Alternative interior angles)

$m\angle ABC=m\angle BCD$          (Definition of congruent angles)

$x+30^{\circ}=75^{\circ}$

Subtract 30° from both sides.

$x+30^{\circ}-30^{\circ}=75^{\circ}-30^{\circ}$

$x=45^{\circ}$

Therefore the measure of angle x is 45°.

Answer 2

It is 45 degrees dude, really