Answer for 17: x=77 degrees, y=103 degrees, z=52 degrees.
Explanation: You look at the shape as if it were 4 separate triangles. Find all the supplementary angles that you can figure out. First, I did 180-103=77 degrees. In the middle, there’s a cross section where all the lines intersect. It’s sort of like a mirror. Since angle y is across from 103 degrees, then that means that angle y=103 degrees as well. And since angle x is across from 77 degrees, then that means that angle x is 77 degrees as well. Now that you have those angles figured out, you find angle z, the last one. All angles of a triangle add up to 180 degrees, so you do: 103+25=128 degrees. 180-128=52 degrees. Angle z=52 degrees.
Answer for 18: x=62 degrees, y=53 degrees, z=65 degrees.
Explanation: Again, separate the shape into 2 triangles. Like I said, all angles of a triangle add up to 180 degrees, so immediately, you look at the bottom triangle. You do: 53+62=115 degrees. 180-115=65 degrees. Angle z=65 degrees. Now you can look at the top triangle. You have one angle: 65 degrees, which is the same as angle z. It’s safe to say that this triangle has the same measurements as the other triangle, except it’s flipped over. This means that angle x=62 degrees, and angle y=53 degrees, same as the other triangle. To check your answer, you know that all angles of a quadrilateral add up to 360 degrees, so when you add all the angles together, it should be 360 degrees.
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