Question

The value of x is ____ degrees, and the value of y is___degrees

Answer 1

Answer: x = 112, y = 68.

The way we can figure this out is by deciding which variable to find first. Since we know that lines p and q are parallel, we know that they intersect line m in the same manner. (They are kinda like the same line, just shifted along line m). Since the 68 degrees and y are at the same relative point on lines p and q along m, we know y = 68.

Now we can easily find x. Since a line is basically just a 180 degree angle no matter how you look at it, we know that 68 + x = 180, as these two angles together become a straight line. Thus, solve the equation and get x = 112 degrees.

Answer 2

x = 112°, y = 68°

Explanation:

68° and y are corresponding angles and are congruent, then

y = 68°

x and y are adjacent angles and are corresponding ( sum to 180° ), then

x + y = 180°

x + 68° = 180° ( subtract 68° from both sides )

x = 112°