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In triangle PQR, PQ = PR. The angle Q is (5x - 8)° and the angle R is (3x + 14)°…

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

In triangle $PQR$ , $PQ = PR$ . The angle $Q$ is $(5x - 8)^\circ$ and the angle $R$ is $(3x + 14)^\circ$ . Find $x$ and the angle $P$ .

Need a reminder? The key ideaShow

Angles opposite equal sides are equal, and sides opposite equal angles are equal. The perpendicular from the apex bisects the base and the apex angle. The longer side is opposite the larger angle. Any two sides together are longer than the third, so the third side lies between the difference and the sum of the other two.

The worked solution

Have you tried it?

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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