Question

If ∆PQR ≅ ∆XYZ under SAS criteria, PQ=XY=5cm, QR=ZY=6cm, ∠Q=60°, thenWhat is the measure of angle Y?

A)70°
B)30°
C)60°
D)100°

Answer 1

Answer:

70 is the correct answer.

Answer 2

Answer:

$\bf\underline{\underline{Question}}$

If ∆PQR ≅ ∆XYZ under SAS criteria, PQ=XY=5cm, QR=ZY=6cm, ∠Q=60°, thenWhat is the measure of angle Y?

$\bf\underline{\underline{Answer~:- ~ option~ A~70°}}$

$\huge\bf\underline{\underline{solution}}$

first make a triangle PQR and XYZ as given in attachment

here we know that ∆PQR ≅ ∆XYZ under SAS criteria

PQ = XY [ given ]

QR = ZY [ given ]

∠Q = ∠Y [ by cpct ]

[ we know that both triangles are congruent then each angle and side of ∆ will be equal to other ∆]