ANGLES INVOLVING TWO TANGENTS OF CIRCLE WORKSHEET

QM is tangent to ʘP at point M and QN is tangent to ʘP at point. Solve for the variable and determine the angle measures.

Problem 1:

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

In the diagram, TA and TB are tangents. Find the angles a, b and c. 

Solution

Problem 5 :

AT and BT are tangents to the circle, centre C.

P is a point on the circumference, as shown.

∠BAT = 65˚

Calculate the size of

a)x   b)y  c)z

Solution