Question

angel ABC is inscribed in arc ABC of a circle with centre O. if angle ABC = 65degree , find m( arc ABC) .​

Answer 1

❄️ Given:-

Angel ABC is inscribed in arc ABC of a circle with centre O.

If angle ABC = 65°

Find m( arc ABC.

❄️ Explanation:-

Angle substituted by the arc at the circumference is 1/2 × the angle subtended at centre.

➝ m(arc AB) = 2 × Angle ACB

➝ 2 × 65°

➝ 130°

m(arc ACB) = 360° – m(arc AB) [Measure of a circle is 360°]

➝ 360° – 130°

➝ 230°

Therefore, m(arc ACB) = 230°