In the diagram, PO and OR are radii, |PQ| = |QR| and reflex o. Calculate the value x

**A.**

60^{o}**B.**

55^{o}**C.**

50^{o}**D.**

45^{o}

##### Correct Answer: Option A

##### Explanation

o

Also

= 120^{o}

(

Byt

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}