Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 2.2 Junior Find the answer

What is the measure of the largest angle in $\triangle P Q R$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since the sum of the angles in a triangle is $180^{\circ}$ , then $3 x^{\circ}+x^{\circ}+6 x^{\circ}=180^{\circ}$ or $10 x=180$ or $x=18$ . The largest angle in the triangle is $6 x^{\circ}=6(18^{\circ})=108^{\circ}$ .

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