Question

Please Show Work.

Line A and B are parallel lines transverse by line C. What is the measure of angle x?

Answer 1

The angle x is equal to 30°.

Explanation:

We are given that

• Lines A and B are parallel.
• These lines are transversed by Line C.

We can find out what angle is the supplement of 150° by setting up a simple equation.

`\text{150 + x = 180}\\\\\text{x = 30}`

Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.

Therefore, the angle that is to the top right of x is equal to 150°.

Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.