Question

Angle ACB is inscribed in arc ACB of a circle with Centre O. If angle ACB = 50°, Find m (arc ACB). ​

Answer 1

If angle ACB = $50$° then m(arcACB) is $100$°

Step-by-step explanation:

• Actually, m(arcACB) is a misspelling; the question is m(arcAB), which is the angle subtended by arc AB at the center.

• The angle spanned by the arc at its circumference equals $\frac{1}{2}\cdot$ the angle spanned at its center.

⇒ ∠$AOB=2\cdot$∠$AB$

⇒ $2\cdot50$°

⇒ 100°

Hence, the answer would be $100$°