In a triangle, the ratio of three angles is \(3 : 3 : 4\). Find the measure of the largest angle.
72°
Since the sum of angles in a triangle is \(180°\), and the ratio is \(3:3:4\) with total parts \(= 3+3+4 = 10\).
Value of one part \(= \frac{180°}{10} = 18°\).
The largest angle corresponds to 4 parts: \(4 \times 18° = 72°\).
Hence, the measure of the largest angle is 72°.
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