Question

Given ^PRS = ^CFH, find the values of x, y, and z.

Answer 1

x = 23, y = 7, z = 11

Explanation:

Since triangle PRS is congruent to triangle CFH,

PS = CH = 39

2x - 7 = 39

2x = 46

x = 23

Angle PRS = Angle CFH = 90°

13y - 1 = 90

13y = 91

y = 7

Sum of angles in a triangle add up to 180°.

Angle CHF = 180 - 90 - 28 = 62°

6z - 4 = 62

6z = 66

z = 11