Question

How do I find the answer to x and y?

Question is: Given the congruent statements, find the value of x and y.

Answer 1

First, the angles of triangle MNP add up to 180º. Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.

Now angle N is congruent to angle U.

2x - 50 = 14

2x = 64

x = 32

Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.

13 = 62 - y

y = 49