Question
Angles of a triangle are in the ratio 5 : 6 : 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 '5x°', '6x°', and '7x°', respectively. Sum of angles of a triangle = 5x + 6x + 7x = 180° So, x = (180°/18) = 10° Therefore, the difference between the largest and smallest angle of the triangle = 7x – 5x = 2x = 2 × 10° = 20° Hence, option a.
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