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Question
In the given figure, ‘O’ is the centre of the circle and AE = ED. If ∠ABC = 110° then ∠CBD is equal to ______.
Options
20°
30°
40°
55°
MCQ
Fill in the Blanks
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Solution
In the given figure, ‘O’ is the centre of the circle and AE = ED. If ∠ABC = 110° then ∠CBD is equal to 20°.
Explanation:
∠ABC = 110° subtends arc ADC. Since AE = ED, point E divides arc AD into two equal arcs, so arc AE = arc ED.
Thus, the angle subtended by half of arc AD at point C gives ∠CBD = 20°.
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