NumericalEasy1 mark
9(a)
In the figure given, O is the centre of the circle. ∠DAE = 70º, Find giving suitable reasons the measure of:
∠BCD
Topic: Circle theorems
Previous-year question practice database
Answer
Exam answer
Given:
∠DAE = 70°
∠DAE is the exterior angle of cyclic quadrilateral ABCD.
The exterior angle of a cyclic quadrilateral equals the interior opposite angle.
Therefore:
∠BCD = 70°
Answer:
∠BCD = 70°.
Explanation
Because ABCD is cyclic, its exterior angle at A is equal to the interior opposite angle at C.