The tangents from an external point are equal in length

12 questions

1. The size of the angle labelled a° is ___°.
2. The size of the angle labelled b° is ___°.
3. ∠ATC = 51°∠ABT is subtended by the chord AT.The size of the angle labelled e° is ___°.
4. ∠PEF is subtended by the chord PF.∠PFE is subtended by the chord PE.Find ∠EPD (in degrees).
5. The size of angle c° is ___°.
6. Find the size of angle d° (in degrees).
7. A triangle is formed on the circle from a segment of a tangent, a radius and another line segment. The size of angle a° is ___°.
8. Points T and U are points where two separate tangents intersect the circle.Find the size of angle b° (in degrees).
9. Points G and H are points where two separate tangents intersect the circle.The size of angle c° is ___°.
10. Points Q and P are points where two separate tangents intersect the circle.The size of the angle labelled d° is ___°.
11. Points J and K are points where two separate tangents intersect the circle.The size of angle e° is ___°.
12. Points L and N are points where two separate tangents intersect the circle. ∠LMN = 118°.g° = ___°.

License: OGL