2019Q11(c)(i)Circles

NumericalEasy1 mark

11(c)

In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC||AE. If ∠BAC = 50°, find giving reasons:

Figure for this question

∠ACB

Topic: Circle theorems

Previous-year question practice database

Answer

Exam answer

AC is a diameter, so ∠ABC=90°.

Given ∠BAC=50°.

∠ACB =180°−90°−50° =40°.

Answer: 40°.

Explanation

Angle in a semicircle is 90°.

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