Question

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB = 64 and ABC = 73, ABC = ____ and m AC =____

Answer 1

M ABC=73 degrees and mAC=146 degrees

Explanation:

Answer 2

ABC = 73

m arc AC = 146°

Explanation:

Angle ABC is an inscribed angle with AC as its arch.

∠ACB is an inscribed angle with AB as its arch.

Given: m ∠ABC = 73°

m ∠ACB = 1/2 of m∠AB

= 1/2*64

m∠ACB = 32

ABC = 73

To find the arch, multiply angle ABC of 73° by 2.

m arch AC = 146°

Thank you.