In the given figure, ∠QRU = 74°, ∠TRS = 20° and ∠PSR = 100°, then what is the value (in degrees) of ∠PRQ ?
Answer & explanation
Correct answer: option 2
PQRS is a cyclic Quadrilateral:
Hence,
∠PQR = 180° - ∠PSR = 180° - 100° = 80°
In ΔPQR: ⇒ ∠RPQ = ∠QRU = 74°
Therefore,
∠PRQ = 180° - ∠RPQ - ∠RQP = 180° - 74° - 80° = 26°