Analyze the diagram below and complete the instructions that follow.

Answer:

Responses may vary but should include some or all of the following information:To find x and y, use the linear pairs of angles and set the sums of the expressions equal to 180 degrees. 6x + 35 + 8x – 23 = 180 14x = 168 x = 12 and 3y + y + 88 = 180 4y = 92 y = 23 Looking at vertical angles ZAY and WAX, we find the measures to be 3(23) = 69 and 8(12) – 23 = 73. However, since vertical angles are congruent, angles ZAY and WAX should have the same measure. Making this figure not possible.