Question

in the given fig ,O is the centre of the circle angle AOC=130 find angle ABC

Answer 1

ur ans is wrong..

correct answer is 115

Answer 2

Answer:

$\red { Value \:of \: \angle ABC } =\green {= 65\degree }$

Step-by-step explanation:

$Given \: O \:is \:the \: center \:of \:the \:circle .\\\angle AOC = 130\degree ,\: and \: B \:is \: any \\point \: on \:the \:circle$

$\angle ABC = \frac{1}{2} \angle AOC$

$= \frac{1}{2} \times 130\degree\\= 65\degree$

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Theorem:

The angle subtended by an arc at the centre is twice the angle subtended by it at any point on the remaining part of the circle.

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Therefore.,

$\red { Value \:of \: \angle ABC } =\green {= 65\degree }$

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