Question

A, B, C and D lie on a circle, centre O.
SCT is the tangent at C and is parallel to OB.
Angle AOB = 130°, and angle BCT = 40°.
Angle OBC = x°, angle OBA = y° and angle ADC = z°.

(i) Write down the geometrical word which completes the following statement.
“ABCD is a quadrilateral.”
(ii) Find the values of x, y and z.
(iii) Write down the value of angle OCT.
(iv) Find the value of the reflex angle AOC.

Answer 1

Answer:

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