Penelope and her sister are having a pizza party. They divided the whole pie into six equal pieces about the center. Find the angle subtended by each piece. Also, comment on the type of angle.

45^{o}

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60^{o}

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It is an acute angle.

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It is an obtuse angle.

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Solution

The correct option is C It is an acute angle.
The whole pie is $360^{o} .$
It is divided into six equal sectors.
Then each sector will be of $\frac{360^{o}}{6} = 60^{o} .$
$60^{o}$ lies between $0^{o}$ and $90^{o} .$
$∴$ It is an acute angle.

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Penelope and her sister are having a pizza party. They divided the whole pie into six equal pieces about the center. Find the angle subtended by each piece. Also, comment on the type of angle.

The correct option is C It is an acute angle.The whole pie is 360o. It is divided into six equal sectors. Then each sector will be of 360o6=60o. 60o lies between 0o and 90o. ∴ It is an acute angle.

The correct option is C It is an acute angle.
The whole pie is $360^{o} .$
It is divided into six equal sectors.
Then each sector will be of $\frac{360^{o}}{6} = 60^{o} .$
$60^{o}$ lies between $0^{o}$ and $90^{o} .$
$∴$ It is an acute angle.