Multiple choice

The ratio among the angles of a quadrilateral is 6 : 4 : 5 : 3. If the greatest angle of a triangle is 30 less than 5/6th of the greatest angle of the quadrilateral and if another angle of triangle is 3/5th of the second largest angle of the quadrilateral, then find the third angle of the triangle.

  1. 50°

  2. 40°

  3. 60°

  4. 45°

  5. None of these
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A Correct answer
Explanation

Largest angle of quadrilateral = (360o x 6) / 18 = 120o   Largest angle of triangle = (120o x 5) / 6 – 30o = 70o  Second largest angle of quadrilateral = (360o x 5)/18 = 100o  Second angle = (100o x 3) / 5 = 60o  Third angle of triangle = 180o - (70o + 60o) = 180o – 130o = 50o 

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