Please help and solve for each will give brainliest

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

Comment
The measurement of an arc in degrees is the same as the central angle. We must assume that the central angle is the measurement given.
$\overset{\LARGE{\frown}}{AB}$ = 49

To find the next one you need to find the measurement from B to C, the arc that is over 180 degrees. Maybe you could put another letter between B and C so that we could refer to that top arc greater than 180 degrees. Call the point you inserted D.

$\overset{\LARGE{\frown}}{BDC}$ = 360 - 49 - 107 = 204
$\overset{\LARGE{\frown}}{ABC}$ = $\overset{\LARGE{\frown}}{BDC}$ + $\overset{\LARGE{\frown}}{AB}$

Arc(ABC) = 204 + 49 = 253

Arc(BAC) = Arc(BC) + Arc(AB)
Arc(BAC) = 107 + 49
Arc(BAC) = 156

Arc(ACB) = 107 + 204 = 311

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