Question

In rhombus PQRS if PQ=PR then angle PQR is-:
1)120°
2)90°
3)30°
4)None Of The Above(Give the correct answer)​

Answer 1

$\angle PQR =60^{\circ}$ so option 4) is correct.

Step-by-step explanation:

1. Since PQRS is a rhombus. Rhombus has four equal side.

  PQ =QR =RS= PS      ...1)

2. In rhombus PQRS, diagonal is PR and QS.

3. Where it is given that

  PQ =PR       ...2)

4. Consider triangle $\Delta PQR$

   From equation 1) and equation 2)

   PQ =QR= PR     ...3)

5. From equation 3) it is clear that triangle  $\Delta PQR$ is an equilateral triangle.

  So

 $\angle PQR=60^{\circ}$