Answer:
The value of x is 100°.
Step-by-step explanation:
It is given that lines m and n are parallel to each other. Lines p and q are also parallel to each other.
It a transversal line intersect two parallel line, then the corresponding angles are same. The angle with measure 100° and angle 2 are corresponding angles.
[tex]\angle 2=100^{\circ}[/tex] (Corresponding angles)
It a transversal line intersect two parallel line, then the opposite exterior angles are same. The angle 3 and angle 2 are opposite exterior angles.
[tex]\angle 3=\angle 2[/tex] (Opposite exterior angles)
[tex]x=100^{\circ}[/tex]
Therefore the value of x is 100°.
