Question

in a rhombus pqrs if pq= pr then angle pqr is what

Answer 1

In the given rhombus PQRS,

                           $\angle PQR = 60^o$

Step-by-step explanation:

• We know that all the sides have equal measures, in a rhombus.

• In rhombus, diagonals intersect at right angle.

But, it is given that;

• length of PQ = length of diagonal PR.

• Therefore, the triangle $\Delta QPR$ become equilateral triangle. (refer the figure attached)

We know that all the angles are equal in measures, in an equilateral triangle.

• So, $\angle PQR = \angle QPR = \angle PRQ = 60^o$

• Thus,$\angle PQR = 60^o$