2020Q3(a)(iii)Circles

NumericalEasy1 mark

3(a)

In the figure given below, O is the centre of the circle and AB is a diameter. If AC = BD and ∠AOC = 72° . Find:

Figure for this question

∠ABD

Topic: Circle theorems

Previous-year question practice database

Answer

Exam answer

∠ABD = 54°

Explanation

In ΔABD ∠ABD + ∠BAD + ∠ADB = 180° (sum of all angles of D) MATHEMATICS (SOLVED PAPER - 2020) ∠ABD + 36° + 90° = 180° ∠ABD = 180° – 126° ∠ABD = 54°

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