In the given figure, $△$ ABC is inscribed in a circle with centre O. If $∠$ ACB = 65 $^{o}$ , find $∠$ ABC

^{o}

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^{o}

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Solution

The correct option is A 25 $^{o}$
$C e n t r a l ∠ = 180^{\circ}$
$∠ B A C = 90^{\circ}$
Given $∠ A C B = 65^{\circ}$
$∠ A B C = 180^{\circ} - ∠ B A C - ∠ A C B$
$∠ A B C = 180^{\circ} - 90^{\circ} - 65^{\circ}$
$∠ A B C = 25^{\circ}$

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In the given figure, △ ABC is inscribed in a circle with centre O. If ∠ACB = 65o, find ∠ABC

The correct option is A 25oCentral∠=180∘∠BAC=90∘Given ∠ACB=65∘∠ABC=180∘−∠BAC−∠ACB∠ABC=180∘−90∘−65∘∠ABC=25∘

In the given figure, $△$ ABC is inscribed in a circle with centre O. If $∠$ ACB = 65 $^{o}$ , find $∠$ ABC

The correct option is A 25 $^{o}$
$C e n t r a l ∠ = 180^{\circ}$
$∠ B A C = 90^{\circ}$
Given $∠ A C B = 65^{\circ}$
$∠ A B C = 180^{\circ} - ∠ B A C - ∠ A C B$
$∠ A B C = 180^{\circ} - 90^{\circ} - 65^{\circ}$
$∠ A B C = 25^{\circ}$