Two parallel lines are crossed by a transversal. What is the value of x?
x = 45, x = 65, x = 95, x = 115

Solution:

Given, two parallel lines are crossed by a transversal.

We have to find the value of x.

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.

From the given figure,

Lines r and s are parallel

Line t is the transversal

So, x° and 115° are corresponding angles.

Since the lines are parallel,

x° = 115°

Therefore, the value of x is 115°.

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

Summary:

Two parallel lines are crossed by a transversal. The value of x is 115°.