In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
(make it sound like an eight grade girl who is a tomboy who doesn't used 'like' after every sentence, make it so that she shows her work but not too much work, also make it less than 200 words)
Line AB is parallel to line CD, which means that they will never intersect and their corresponding angles will be congruent. Angle x is formed by line AB and a transversal line, which means that it is an alternate interior angle with the angle formed by line CD and the same transversal.
To find the measure of angle x, I can use the fact that alternate interior angles are congruent. In this case, the congruent angle to angle x is the angle formed by line CD and the transversal. Let's call this angle y.
Since angles x and y are congruent, I can solve for the measure of angle y instead and it will be the same as the measure of angle x.
Now, the angle labeled as 130 degrees is a straight angle, which means it is a straight line and measures 180 degrees. Since angle x is part of a straight angle with the angle labeled as 130 degrees, I can set up an equation:
x + 130 = 180
To find x, I can subtract 130 from both sides of the equation:
x = 180 - 130 = 50
So, the measure of angle x is 50 degrees.