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navik [9.2K]
3 years ago
6

The answer is 144 but how?

Mathematics
2 answers:
Levart [38]3 years ago
8 0
The angles around the point a total 360°
the lines AB and AC make a sector of the circle.
we are told that the circumference of that sector is 2/5 of the total circumference
so 360/5 ×2 =144
serious [3.7K]3 years ago
3 0

x = 144°

the following ratio is true for the given circle

\frac{arc}{circumference} = \frac{x}{360}

that is \frac{2}{5} = \frac{x}{360} ( since AB is 2/5 circumference )

cross-multiply

5x = 720 ( divide both sides by 5 )

x = 144


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4 years ago
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Sergeeva-Olga [200]

Answer:

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