Question

Two tangents pq and pr are drawn from an external point to a circle o Bali said the quadrilateral qorp is a cycle

Answer 1

Step-by-step explanation:

We know that tangents are perpendicular to radii.

In quad. QORP, OQ⊥PQ (Property) & OR⊥PR (Property).

So, ∠ORP=90°

& ∠OQP=90°

Thus, they are supplementary.

A quadrilateral with supplementary opposite angles is cyclic.

∴The quad. QORP is cyclic.