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# In the diagram, O is the centre, $$\bar{RT}$$ is a diameter, < PQT = 33$$^o$$...

### Question

In the diagram, O is the centre, $$\bar{RT}$$ is a diameter, < PQT = 33$$^o$$ and < TOS =  76$$^o$$. Using the diagram, find the size of angle PRS.

A) 76o

B) 71o

C) 38o

D) 33o

### Explanation:

In the diagram,  < TRS = $$\frac{76^o}{2}$$ = 38$$^o$$

Hence, angle PRS = 33$$^o$$ + 38$$^o$$

= 71$$^o$$

## Dicussion (1)

• In the diagram,  < TRS = $$\frac{76^o}{2}$$ = 38$$^o$$

Hence, angle PRS = 33$$^o$$ + 38$$^o$$

= 71$$^o$$