The ratio between the adjacent angles of a parallelogram is 2 : 3 respectively. Half the smaller angle of the parallelogram is equal to the smallest angle of a quadrilateral. Largest angle of quadrilateral is four times its smallest angle. What is the sum of largest angle of quadrilateral and the smaller angle of parallelogram?

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BANK PO Exam (Union Bank of India) 2001 click here to view all questions

The ratio between the adjacent angles of a parallelogram is 2 : 3 respectively. Half the smaller angle of the parallelogram is equal to the smallest angle of a quadrilateral. Largest angle of quadrilateral is four times its smallest angle. What is the sum of largest angle of quadrilateral and the smaller angle of parallelogram?

A$252^∘$

B$226^∘$

C$144^∘$

DNone of these

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Correct answer is: None of these Explanation: Let the adjacent angles of parallelogram be $2x^{\circ }\text{ and }3x^{\circ }$ respectively Then, $2x^{\circ }+3x^{\circ }={180}^o$ $5x^{\circ }={180}^o$ $x^{\circ }={36}^{\circ }$   Smaller angle of parallelogram $=2x={72}^{\circ }$ = Smallest angle of the quadrilateral $={36}^{\circ }$   Therefore, Its largest angle $=4\times 36={144}^{\circ }$   Therefore, Required sum $=144+72={216}^{\circ }$ Nithin ? answered Aug 13 '2022 at 13:6 All Comments

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