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The line PQR is a tangent to a circle with centre O.
QS is the diameter of the circle.
T is a point on the circumference of the circle such that POT is a straight line.
The angle OPQ is 34^{o}
Calculate the size of angle TQR. [WRITE NUMBER ONLY e.g. 23]
ABCD is a cyclic quadrilateral and PA is a tangent to the circle at A.
Angle BAP = 20^{o} and the angle ADC = 62^{o}.
Find
(a) angle ABC
(b) angle BAC
[WRITE ANSWER IN THE FORM 23;89 without any spaces.]
In the diagram, O is the centre of the circle.
SAT is a tangent of the circle at A.
Angle BAC = 80^{o} and angle SAB = angle TAC.
Calculate
Calculate
(a) BOC
(b) OBC
(c) ABO
(d) ACO
[WRITE ANSWER IN THE FORM 23;89;18;95 putting no spaces.]
Calculate the size of angle TQR.
A, B and C are points on the circumference of a circle of centre O.
D is a point on BC such that AOD is a straight line.
Calculate angles x, y and z.
[WRITE ANSWER IN THE FORM “a23b89c87”, putting no spaces.]
AD is a diameter of a circle centre O.
B and C are points on the circumference such that DC is parallel to OB. The angle OAC = 64^{o}
(a) Calculate the size of angle ODC.
(b) Calculate the size of angle AOB.
(c) Calculate the size of angle ACB.
(d) Calculate the size of angle OBC.
[WRITE ANSWER IN THE FORM 23;89;45;97, putting no spaces.]