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

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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