Question

A, B, C are any points on the circle with centre O. If m(arc BC) = 110° and m(arc AB) = 125°, find measure arc AC.

Answer 1

m(arc AB) + m(arc BC) + m(arc AC) = 360°   ......[Measure of complete circle is 360°]

∴ 125° + 110° + m(arc AC) = 360°

∴ m(arc AC) = 360° – 125° – 110°

= 125°