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In the Given Figure, If ∠Abc = 45°, Then ∠Aoc = - Mathematics

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Question

In the given figure, if ∠ABC = 45°, then ∠AOC =

Options

  • 45°

  • 60°

  • 75°

  • 90°

MCQ
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Solution

90°
We have to find AOC.

As we know that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

`angleAOC = 2 angleABC`

           `= 2 xx 45`

            = 90°

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Chapter 15: Circles - Exercise 15.7 [Page 111]

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RD Sharma Mathematics [English] Class 9
Chapter 15 Circles
Exercise 15.7 | Q 22 | Page 111

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