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kati45 [8]
3 years ago
8

When a quadrilateral is inscribed in a circle, what is known about the opposite angles?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0
The measure of the angle with vertex and the endpoints of the sides lying on the circle is half the measure of the intercepted arc. If the quadrilateral is inscribed in a circle, the sum of the measures of the intercepted arc is 360 degrees representing the whole circle.

This means that the sum of the opposite angles is 180 degrees. 
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Equivalently, it is ...

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<h3>Application</h3>

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__

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

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