GCSE OCR Maths Circle theorems: P, Q and R are points on the cir

Question

P, Q and R are points on the circumference of a circle, centre O.

Angle PRQ = 59° and angle PQR = 67°.
Line SPT is a tangent to the circle.

(i) Work out angle a.
Give a reason for your answer.

Angle a = .....................° because .....................................................................

................................................................................

(ii) Work out angle b.
Give a reason for your answer.

Angle b = .....................° because ......................................................................

................................................................................

(b) E, F, G and H are points on the circumference of a circle, centre O.
Acute angle EHG = x°.

(i) Complete the following, giving the values of the angles in terms of x.
Obtuse angle EOG = ................... because .................................................................

Therefore, reflex angle EOG = ...................°.
Therefore, angle EFG = ...................°.

(ii) Write down what your working in part (b)(i) has proved.

P, Q and R are points on the circumference of a circle, centre O - OCR - GCSE Maths - Question 17 - 2023 - Paper 4

Worked Solution & Example Answer:P, Q and R are points on the circumference of a circle, centre O - OCR - GCSE Maths - Question 17 - 2023 - Paper 4

Work out angle a.

Work out angle b.

Complete the following, giving the values of the angles in terms of x.

Write down what your working in part (b)(i) has proved.

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