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What is the measure of the arc from A to B that does not pass through C?

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What Is The Measure Of The Arc From A To B That Does Not Pass Through C Fill In The Blanks class=

Sagot :

Applying the inscribed angle theorem, the measure of the arc from A to B is: 100 degrees.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that an inscribed angle in a circle is half the central angle.

Angle BAC = 40 degrees, so, central angle = 80 degrees. Arc BC would also be 80 degrees.

Measure of arc AC through point B = 180 degrees.

Arc AB = 180 - 80 = 100 degrees.

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