Find the measure of the angle subtended by A C B in the given figure-

The correct option is A 280^∘ We know that the central angle of a circle is 360^∘ AB subtends ∠ AOB ACB subtends the reflex angle ∠ AOB ⇒ Reflex ∠ AOB=360 acu ...

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Standard IX

Mathematics

Arc

Find the meas...

Question

Find the measure of the angle subtended by $ˆ A C B$ in the given figure:

$100^{\circ}$

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$180^{\circ}$

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$280^{\circ}$

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$380^{\circ}$

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Solution

The correct option is C
$280^{\circ}$

We know that the central angle of a circle is $360^{\circ}$

$ˆ A B$ subtends $∠ A O B$

$ˆ A C B$ subtends the reflex angle $∠ A O B$

$\Rightarrow$ Reflex $∠ A O B = 360 -$ acute $∠ A O B$

$= 360 - 80 = 280^{\circ}$

Hence, measure of $ˆ A C B = 280^{\circ}$

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Find the measure of the angle subtended by ˆACB in the given figure:

The correct option is C 280∘ We know that the central angle of a circle is 360∘ ˆAB subtends ∠AOB ˆACB subtends the reflex angle ∠AOB ⇒ Reflex ∠AOB=360− acute ∠AOB =360−80=280∘ Hence, measure of ˆACB=280∘

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