Question

In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other. What is the value of x?

Answer 1

100 degrees is the value of
"X"

Answer 2

The value of x is 100°.

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.

`\angle 2=100^(\circ)` (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.

`\angle 3=\angle 2` (Opposite exterior angles)

`x=100^(\circ)`

Therefore the value of x is 100°.