Question

Two parallel lines are crossed by a transversal. What is the value of x?

x = 45
x = 65
x = 95
x = 115

Answer 1

The value of 'x' is 115° (corresponding angles).

Answer 2

The correct answer is: x = 115°

Step-by-step explanation:

When two lines are crossed by another line, the angles in matching corners are called corresponding angles. When the two lines are parallel, the corresponding angles are equal.

Here in this case, the two lines are "s" and "r", and both are parallel and are crossed by the line t; therefore, the corresponding angles will be the same.

Since the first corresponding angle is 115°, the second angle x will be 115° as well. The correct answer is: x = 115°.