Question

pqrs is a cyclic quadrilateral such that side PQ is the diameter of the circle point P are is equal to 115 the value of angle QPR is​

Answer 1

Answer:

Please mark as brilliant please mark as brilliant

Step-by-step explanation:

PQRS is a cyclic quadrilateral.

Then, ∠PQR+∠PSR=180∘ ...[Opposite angles of cyclic quadrilateral are supplementary]

⟹ ∠PQR+150o=180∘

⟹ ∠PQR=180∘−150∘=30∘.

In △PQR,

∠PRQ=90∘ (Angle of a semicircle)

Then, ∠RPQ+90∘+30∘=180∘ ...[Angle sum property]

⇒∠RPQ+120∘=180∘

⇒∠RPQ=60∘.

Hence, option B is correct.