In the given figure- O is the centre of the circle- - CBE - 25- and - DEA - 60- The measure of - ADB is -

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Chord Properties of Circles

In the given ...

Question

In the given figure, O is the centre of the circle, $∠ C B E = 25^{\circ} a n d ∠ D E A = 60^{\circ} .$ The measure of $∠ A D B$ is :

90^{\circ}

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95^{\circ}

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85^{\circ}

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120^{\circ}

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Solution

The correct option is B $95^{\circ}$
Angles in the same segment are equal, so,
$∠ C B E = ∠ D A E = 25^{o}$
In $△ A D E$ ,
$∠ D A E = 25^{o}, ∠ D E A = 60^{o} \Rightarrow ∠ A D E = 180 - 25 - 60 = 95^{o}$
$\Rightarrow ∠ A D B = 95^{o}$
So option B is the right answer.

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Similar questions

In the given figure, $O$ is the centre of a circle. If $∠ A O B = 100^{\circ}$ and $∠ A O C = 90^{\circ}$ , then $∠ B A C = ?$

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(b) $80^{\circ}$

(d) $75^{\circ}$

$In the given figure,O is the centre of the circle. If ∠ ACB = 60^{\circ} then find ∠ O A B .$

In the given figure, O is the centre of a circle and chords AC and BD intersect at E. If $∠ A E B = 110^{\circ} a n d ∠ C B E = 30^{\circ} t h e n ∠ A D B = ?$

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Q. In the given figure,

O

is the centre of the circle. The measure of

∠ A D B

In the given figure, O is the centre of the circle. $∠ PBC = 25^{\circ} and ∠ APB = 110^{\circ}$ , find the value of $∠ ADB.$

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In the given figure, O is the centre of the circle, ∠CBE=25∘ and ∠DEA=60∘. The measure of ∠ADB is :

The correct option is B 95∘Angles in the same segment are equal, so,∠CBE=∠DAE=25oIn △ADE,∠DAE=25o, ∠DEA=60o⇒∠ADE=180−25−60=95o⇒∠ADB=95oSo option B is the right answer.

In the given figure, O is the centre of the circle, $∠ C B E = 25^{\circ} a n d ∠ D E A = 60^{\circ} .$ The measure of $∠ A D B$ is :

The correct option is B $95^{\circ}$
Angles in the same segment are equal, so,
$∠ C B E = ∠ D A E = 25^{o}$
In $△ A D E$ ,
$∠ D A E = 25^{o}, ∠ D E A = 60^{o} \Rightarrow ∠ A D E = 180 - 25 - 60 = 95^{o}$
$\Rightarrow ∠ A D B = 95^{o}$
So option B is the right answer.