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3 years ago

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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