EasyMathematicsHigh School (9–10)GeneralGeometry › CirclesNumerical

ABCD is a cyclic quadrilateral with ∠ A = 82° and ∠ B = 97°. Find ∠ C and ∠ D.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

$ABCD$ is a cyclic quadrilateral with $\angle A = 82^\circ$ and $\angle B = 97^\circ$ . Find $\angle C$ and $\angle D$ .

Need a reminder? The key ideaShow

The opposite angles of a cyclic quadrilateral add up to $180^\circ$ : $\angle A + \angle C = 180^\circ$ and $\angle B + \angle D = 180^\circ$ . The four angles of any quadrilateral add up to $360^\circ$ .

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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