In this worksheet, we will practice applying the fact that the angle inscribed in a semicircle is a right angle, in a variety of questions.

**Q1: **

Find .

**Q3: **

Find and .

- A ,
- B ,
- C ,
- D ,

**Q4: **

Given that , find .

- A
- B
- C
- D

**Q6: **

Given that and , find and .

- A ,
- B ,
- C ,
- D ,

**Q7: **

Find .

**Q8: **

Given that is a rectangle, in which , , and , find the length of .

**Q9: **

Given that , find .

**Q10: **

Point is outside a circle centre , and meets the circle in and . Suppose that is tangent to the circle at and . What is ?

**Q11: **

In the given figure, is a diameter.

What is the size of angle ?

- A
- B
- C
- D
- E

Given that the size of angle , find the size of angle .

- A
- B
- C
- D
- E

Calculate the size of angle .

- A
- B
- C
- D
- E

**Q12: **

Find .

**Q13: **

Given that , find .

- A
- B
- C
- D

**Q14: **

Given that , find .

- A
- B
- C
- D

**Q15: **

Given that and , find and .

- A ,
- B ,
- C ,
- D ,