Question

9. Given APRS = ACFH, find the values of x, y, and z

Answer 1

Explanation:

since the 2 triangles are congruent, that means that all corresponding angles and lengths are the same between the 2 shapes.

PS corresponds to HC

so,

39 = 2x - 7

46 = 2x

x = 23

R corresponds to F

so,

13y - 1 = 90

13y = 91

y = 7

H corresponds to S.

remember, the sum of all angles in a triangle is always 180°.

so,

6z - 4 = 180 - 28 - 90 = 62

6z = 66

z = 11