Question

In ∆PQR and ∆XYZ, PQ = XY, ∠Q = ∠Y = 70°, and QR = YZ, then

a) By which congruence rule ∆PQR ≅ ∆XYZ?

b)If ∠P = 45°, then what would be the measure of ∠Z?​

Answer 1

Step-by-step explanation:

By SAS congruence criterion,

since it is given that

RP=ZX, RQ=ZY and ∠PRQ=∠XZY.

The two sides and one angle in one of the triangle

are equal to the corresponding sides and the angle of

other triangle.

Therefore,

ΔPQR≅ΔXYZ.