There are six angles at a point- One of them is 40- and the other five angles are all equal- Find the measure of equal angles-

The correct option is C 64°The angles around a point is 360° Given, one of them is 40^∘. Let the remaining equal angle be x 40 + 5x = 360° 5x = 320 x = nbsp; ...

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Standard VI

Mathematics

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There are six...

Question

There are six angles at a point. One of them is 40 $^{\circ}$ and the other five angles are all equal. Find the measure of equal angles.

62°

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63°

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64°

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65°

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Solution

The correct option is C 64°
The angles around a point is 360°
Given, one of them is 40 $^{\circ}$ . Let the remaining equal angle be x
40 + 5x = 360°
5x = 320
x = 320 $\div$ 5 = 64°
Hence the measure of equal angle is 64°

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There are six angles at a point. One of them is 40∘ and the other five angles are all equal. Find the measure of equal angles.

The correct option is C 64°The angles around a point is 360° Given, one of them is 40∘. Let the remaining equal angle be x 40 + 5x = 360° 5x = 320 x = 320 ÷ 5 = 64° Hence the measure of equal angle is 64°

There are six angles at a point. One of them is 40 $^{\circ}$ and the other five angles are all equal. Find the measure of equal angles.

The correct option is C 64°
The angles around a point is 360°
Given, one of them is 40 $^{\circ}$ . Let the remaining equal angle be x
40 + 5x = 360°
5x = 320
x = 320 $\div$ 5 = 64°
Hence the measure of equal angle is 64°