The angle between a tangent and a chord is always equal to the angle at the circumference of any triangle formed from the chord.

- Draw in a diameter from the point where the tangent touches. Connect it to the other end of the chord.
- Using ‘radius and tangent meet at a right angle’ we get a right angle where the diameter meets the tangent.
- Using ‘angle in a semicircle is 90°’ we get that the angle at the other end of the chord is a right angle too.
- We find that the angle at the bottom of the diameter is the same as x.
- Using ‘angles in same segment’ we get that x = y.

## Comments

No comments have yet been made