In the diagram, PO and OR are radii, |PQ| = |QR| and reflex ∠ PQR

Explanation

< Q = \(\frac{240}{2}\) (angle at centre twice that at the circumference)

< Q = 120^o

Also< POR = 360 - 240

= 120^o

(< s at centre) since /PQ/ = /QR/,< x =< R

Byt< x +< R + O + Q = 360 (sum of interior< s of quadrilateral)

x + R + 120 = 360^o

x + R = 360 - 240 = 120; Since x = R

x + x = 120

2x = 120

Since x = R

x + x = 120

2x = 120

x = \(\frac{120}{2}\)

= 60^o