Home » » In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o a...

# In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o a...

### Question

In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o and < QSR. Calculate < SQR.

A) 20o

B) 40o

C) 60o

D) 80o

### Explanation:

In the diagram, < RPQ = 80$$^{\circ}$$(angles in same segment)
< SPR = 100$$^{\circ}$$ - < RPQ
= 100 - 80
= 20$$^{\circ}$$
< SQR = < SPR = 20$$^{\circ}$$ (same reason as above)
< SQR = 20$$^{\circ}$$

## Dicussion (1)

• In the diagram, < RPQ = 80$$^{\circ}$$(angles in same segment)
< SPR = 100$$^{\circ}$$ - < RPQ
= 100 - 80
= 20$$^{\circ}$$
< SQR = < SPR = 20$$^{\circ}$$ (same reason as above)
< SQR = 20$$^{\circ}$$