Question
Angles of a triangle are in the ratio 3 : 4 : 5. Find
the sum of the largest and smallest angle of the triangle.Solution
Let the measure of the angles of the given triangle be '3x°', '4x°', and '5x°', respectively. Sum of angles of a triangle = 3x + 4x + 5x = 180° So, x = (180°/12) = 15° Therefore, the sum of smallest and largest angles of the triangle = 3x + 5x = 8x = 8 × 15° = 120° Hence, option a.
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