Question
Angles of a triangle are in the ratio 2 : 3 : 7. Find
the sum of the smallest and largest 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 sum of smallest and largest angles of the triangle = 2x + 7x = 9x = 9 × 15° = 135° Hence, option a.
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