Tangents of Circles and Angles

Find the value of x.

• 12.5

• 8

• 35

• 16

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 90

Given the following inscribed quadrilateral, what is the value of y?

• 10

• 20

• 30

• 40

Diagram shows a circle with centre O and ABC is a tangent to the circle at B. Given that BD=DE, find the value of X.

The diagram shows a circle with a straight line PQR is a tangent to a circle at Q. Given \angle RQS=36\degree and \angle SQT=78\degree . Find the value of x and y.

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.

Find the value of x

If two tangents are drawn from an external point then they subtend equal angles at the centre

• TRUE

• FALSE