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AlekseyPX
3 years ago
7

PLEASE HELP!!

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

D.130°

Step-by-step explanation:

An arc measure ia an angle an arc makes with the circle's centre and is proportional to the angle it subtends to the circumference, arc length.

-Given that  AC and BC are diameters, then \angle AOB =\angle DOC since they are alternate angles.

\angle AOB =\angle dOC=180\textdegree\\\\3x-70=x+10\\\\x=40\textdegree

#Since angles on one side of a diameter sum up to 180°, mBC is calculated as:

(3x-70)+m\angle BC=180\\\\M\angle BC=180+70-3\times 40\\\\=130\textdegree

Hence, mBC=130°

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