Find the value of x in the given figure if - AOB -70- and AB-CD- 60-80-40-70-

The correct option is D 70^∘Given that AB=CD. nbsp; The angle subtended by chord AB is ∠ AOB, and the nbsp;angle subtended by chord CD is ∠ COD=x. We know ...

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Byju's Answer

Standard IX

Mathematics

Angle Subtended by a Chord at a Point on the Circle

Find the valu...

Question

Find the value of $x$ in the given figure if $∠ A O B = 70^{\circ}$ and $A B = C D .$

70^{\circ}

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60^{\circ}

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80^{\circ}

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40^{\circ}

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Solution

The correct option is A $70^{\circ}$
Given that $A B = C D .$
The angle subtended by chord AB is $∠ A O B,$ and the angle subtended by chord CD is $∠ C O D = x .$
We know that equal chords subtend equal angles at the centre.
$⟹ ∠ A O B = ∠ C O D$
Thus, $x = 70^{\circ} .$

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Similar questions

Q. In the give figure, AB and CD are two intersecting chords of a circle. If ∠CAB = 40° and ∠BCD = 80°, then ∠CBD = ?
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(c) 50°
(d) 70°
Figure

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Find the value of x in the given figure if ∠AOB=70∘ and AB=CD.

The correct option is A 70∘Given that AB=CD. The angle subtended by chord AB is ∠AOB, and the angle subtended by chord CD is ∠COD=x. We know that equal chords subtend equal angles at the centre. ⟹∠AOB=∠COD Thus, x=70∘.

Find the value of $x$ in the given figure if $∠ A O B = 70^{\circ}$ and $A B = C D .$

The correct option is A $70^{\circ}$
Given that $A B = C D .$
The angle subtended by chord AB is $∠ A O B,$ and the angle subtended by chord CD is $∠ C O D = x .$
We know that equal chords subtend equal angles at the centre.
$⟹ ∠ A O B = ∠ C O D$
Thus, $x = 70^{\circ} .$