Question

Triangle XYZ and EFG are given. ΔXYZ≅ΔEFG by SAS. If m∠EFG = 5p-2, YZ=2n-5 and GF=n+5 then which of the following statements are true.

A.ZY=15
B.m∠XZY=52
C.p=8
D.p is 2 more than n.
E.m∠EFG=38
F.GF=8

Answer 1

A. ZY=15

Explanation:

Insufficient information is given about angles to make any statement about the value of p or the measures of any angles. (Eliminates B,C,D,E)

Side YZ corresponds to side FG. Since they are congruent, their measures are the same. This means ...

2n -5 = n +5

n = 10 . . . . . . . . add 5-n

YZ = ZY = 2·10 -5 = 15 . . . . . . matches choice A