Question

A circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

Answer 1

m<ACB = 59degrees

Explanation:

To get <ACB, first we need arcAB

arcAB + arcAC + arcBC = 360

arcAB + 89 + 153 = 360

arcAB+242 = 360

arcAB = 360 - 242

arcAB = 118

Also, m<ACB = 1/2arcAB

m<ACB = 1/2*118

m<ACB = 59degrees