In the figure below, ABCD is a cyclic quadrilateral with diagonal BD. EADF is a straight line.

TOPICS: Angle Properties of a Circle

LEVEL: Form 2 Level
SOURCE: Kcse 1996 Paper 1, Question 5
MARKS: 4

Skills Tested

  • Geometry (properties of cyclic quadrilaterals)
  • Angle relationships and theorems

QUESTION

In the figure below, ABCD is a cyclic quadrilateral with diagonal BD. EADF is a straight line. The angles are given as follows:

    \[ \angle CDF = 68^\circ \]

    \[ \angle BDC = 45^\circ \]

    \[ \angle BAE = 98^\circ \]

Calculate the size of: \begin{enumerate} \item \angle ABD (2 marks) \item \angle CBD (2 marks) \end{enumerate}

MARKING SCHEME

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