Finding an Angle Tangents to a Circle

What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?

• 2(Inscribed Angle)

• 2(Intercepted Arc)

If 2 segments from the same external point are tangent to a circle, then they are_.

• Supplementary

• Congruent

• Complimentary

The diagram shows a circle with a straight line JKL is a tangent to a circle at K. Given \angle LKM=72\degree and \angle KMN=60\degree . Find the value of x and y.

In the diagram, KLMN is a tangent to a circle MTR. RSM is a straight line. Find the value x.

• 50

• 70

• 110

• 120

• 50

• 115

• 65

• 130

The diagram shows PQR is a tangent to the circle. Find the value of x and y.

• x = 65o, y = 115o

• x = 50o, y = 40o

• x = 20o, y = 50o

• x = 40o, y = 50o

• x = 50o, y = 80o

The diagram shows PQ and RS are two tangents to a circle centred at O. Find the value of x, y and z.

• x = 66o, y = 24o, z = 8 cm

• x = 24o, y = 66o, z = 8 cm

• x = 66o, y = 24o, z = 16 cm

• x = 24o, y = 66o, z = 16 cm

• 50

• 115

• 65

• 130

The lines PA and PB are tangents to the circle with centre O at A and B. If ∡OAB = 32°, find ∡APB.

• 32°

• 58°

• 64°

• 90°