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The opposite angles of a cyclic quadrilateral are (3x + 10)° and (5x - 6)°…

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The opposite angles of a cyclic quadrilateral are $(3x + 10)^\circ$ and $(5x - 6)^\circ$ . Find $x$ and the two angles.

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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