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 arch AB=64° and ⦣ABC=73°, m ⦣ABC= ° and m arch AC= °.

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

m ⦣ABC = 73° (Given)
m ⦣ACB = 32° (Since ACB is an inscribed angle, we will get the one half of the given arch AB 64° : 1/2 * 64 = 32°)
m arch AC = 146° (To compute for the arch, multiply angle ABC of 73° by 2 since angle ABC is an inscribed angle : 2 * 73 = 146)

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abidemiokin abidemiokin · Answer 2 · 2022-01-03T12:44:57+01:00

abidemiokin abidemiokin

03-01-2022

The measure of arcAC from the figure is 146 degrees

To get the measure of arc AC, we will use the theorem which states that:

The angle at the centre of a circle is twice the angle at the circumference.

arcAC = 2m<ABC

Given that

m<ABC = 73 degrees

arcAC = 2(73)

arcAC = 146 degrees

Hence the measure of arcAC from the figure is 146 degrees

Learn more on circle geometry here: https://brainly.com/question/25306774

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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 arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.

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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 arch AB=64° and ⦣ABC=73°, m ⦣ABC= ° and m arch AC= °.