Question

Point p, q and r lie on the circumference of a circle, centre o. angle PQR = 29. Work out the size of the reflex angle POR

Answer 1

Step-by-step explanation:

To solve the problem, we join points Q and O.

Now, in ΔOQP,OP=OQ= radius.

⇒∠OPQ=∠OQP

Since the sum of all angles in a triangle is 180

o

,∠POQ=(180−2x)

o

Similarly, in ΔOQR,∠OQR=∠ORQ=y

o

∴∠QOR=(180−2y)

o

∠POR=∠POQ+∠QOR

∴∠POR=(180−2x)

o

+(180−2y)

o

=(360−2x−2y)

o

I hope this helps to you ☺️