Question

Please answer quick!!

Answer 1

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

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\°`