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Circle Theorems Calculator

Math

Apply the cyclic quadrilateral theorem to find the opposite angle in a quadrilateral inscribed in a circle.

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deg
0 deg180 deg

Opposite angle

70.0000

The angle opposite it in the same cyclic quadrilateral

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is the cyclic quadrilateral theorem?

It states that opposite angles of a quadrilateral inscribed in a circle always add up to 180 degrees.

What is the opposite angle when one angle is 110 degrees?

If one angle of a cyclic quadrilateral is 110 degrees, its opposite angle is 70 degrees, since the two must sum to 180 degrees.

Are there other circle theorems besides this one?

Yes, other well known circle theorems include the inscribed angle theorem, the tangent to a circle theorem, and the equidistant chords theorem, each covering a different relationship between angles, chords, and tangents.

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