The diagram is a circle with centre P. PRST are points on the circle. Find…

Explanation

Reflex < POS = 2x (angle at centre is twice that at circumference)

reflex < POS + < POS = 350^o(angles at a point)

i.e. 2x + 8x = 360^o

10x = 360^o

x = \(\frac{360}{10}\)

= 36^o

< PRS = \(\frac{1}{2}\)

< POS(< at centre twice that circumference)

= \(\frac{1}{2}\) x 8x = 4x

4 x 36^o

< PRS = 144