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Murljashka [212]
3 years ago
10

Please answer quick!!

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

mB = mAC / 2

mB = 110 / 2 = 55\°

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

mA + mB + mC = 180

48 + 55 + mC = 180

mC = 180 - 48 - 55

mC = 77\°

Using again the property of inscribed angles, we have:

mAB = 2*mC = 154\°

mBC = 2*mA = 96\°

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