Question

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle P? You must show all work and calculations to receive credit.
An answer with work shown would be aprreciated :D

Answer 1

Mes angle P = mes arc (ORQ) / 2

mes angle R = mes arc(OPQ) / 2

But mes arc(OPQ+ORQ) = 360° & ===> mes angle (P+R) =arc(OPQ+ORQ) /2

= 180°. Then P+R =180°.

Replace P & R by their respective values: y°+3y°+8°=180°
4y° = 172° ===> y°=43°