Question

In a rhombus PQRS , if PQ = PR then angle PQR is . a)120 , b)90 c)60 d)30​

Answer 1

Answer:

so angle pqr=60°

thank you

Answer 2

The correct option is (c)60°

GIVEN

PQRS is a rhombus.

PQ = PR

TO FIND

∠PQR

SOLUTION

We can simply solve the above problem as follows-

It is given,

PQRS is a rhombus.

PQ = PR

We know that,

Each side of a rhombus is equal in length.

So,

PQ = QR= QS = SP

In ΔPQR

PQ = QR (Side of the rhombus)

PR = PQ ( Given )

We can also write it as -

PQ= QR = PR

Since all the sides of the triangle are equal in length,

Therefore,

ΔPQR is an equilateral triangle

So, ∠QPR = ∠PQR = ∠QRP = 60° (Angles of equilateral triangle )

Hence, ∠PQR = 60°

#Spj3

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