GATE CE 2014 Set 1 — Question 8
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is . The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
Correct answer
180 to 180
Solution
1.Let the angles of the quadrilateral be . Their sum is .
.Smallest angle of quadrilateral .
Largest angle of quadrilateral .
2.Smallest angle of triangle .
3.Largest angle of triangle .
4.Third angle of triangle .
The angles of the triangle are . The second largest is .5.Sum .
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