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Crazy boy [7]
3 years ago
11

Find the measure of ABC. Show work.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

The measure of angle ∠ ABC is 96°.

Step-by-step explanation:

Inscribed angle theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Here,

central angle is 192°

∴ m\angle ABC = \frac{1}{2}\times (center\ angle)\\

On substituting the given values we get

∴ m\angle ABC = \frac{1}{2}\times 192\\m\angle ABC = 96\°

Therefore, the measure of angle ∠ ABC is 96°

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