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defon
3 years ago
15

50 points to whoever gets it correct

Mathematics
2 answers:
Kruka [31]3 years ago
8 0

<u>Given</u>

The measure of the arc AC is m \widehat{A C}=82^{\circ}

The measure of the angle ABC is m \widehat{A BC}=x

We need to determine the value of x.

<u>Value of x:</u>

The inscribed angle theorem states that, "the measure of an inscribed angle is half the measure of the intercepted arc".

Applying this theorem, we have;

m \angle A B C=\frac{1}{2} m \widehat{A C}

Substituting the values, we get;

x=\frac{1}{2}(82^{\circ})

x=41^{\circ}

Thus, the value of x is 41°

Therefore, the measure of angle ABC is 41°

Alinara [238K]3 years ago
5 0

Answer:

Here AC = 82⁰

The angle ABC will be half the length of arc AC .

Thus angle ABC = 1/2 × 82 = 41 ⁰

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