1. Circle Theorems continued
The Angle between a Tangent and its radius
90
Definition: A tangent is a line that will touch the circle at one point only. (i.e. it does not cut the circle)
The angle between a tangent an its radius will always be 90

2. Example
Calculate the size of the lettered angle for each of the following:
(i)
54 p

3. (ii)
60 i k

4. (iii)
25 p n

5. The Angle between a Tangent and a chord
Definition:
The angle between a tangent and a chord is equal to he angle in the alternate segment.

6. Calculate the size of the lettered angle for each of the following:
Example
Calculate the size of the lettered angle for each of the following:
(i)
34 m

7. (ii)
95 2e 3e

8. (iii)
34 m n
27