NumericalEasy1 mark
9(a)
In the figure given, O is the centre of the circle. ∠DAE = 70º, Find giving suitable reasons the measure of:
∠OBD
Topic: Slope and equation of a line
Previous-year question practice database
Answer
Exam answer
From part (ii), ∠BOD = 140°.
OB = OD because both are radii. Therefore ΔBOD is isosceles.
∠OBD = ∠BDO = (180° − 140°)/2 = 20°.
Answer: ∠OBD = 20°.
Explanation
OB and OD are radii of the same circle, so the base angles in ΔBOD are equal.
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