Question
Angles of a triangle are in the ratio 2 : 3 : 7. Find
the difference between the largest and smallest angle of the triangle.Solution
Let the measure of the angles of the given triangle be '2x°', '3x°', and '7x°', respectively. Sum of angles of a triangle = 2x + 3x + 7x = 180° So, x = (180°/12) = 15° Therefore, the difference between the largest and smallest angle of the triangle = 7x – 2x = 5x = 5 × 15° = 75° Hence, option b.
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