The ratio between the angles of a quadrilateral is 3 : 4 : 6 : 7. Half the second largest angle of the quadrilateral is equal to the smaller angle of a parallelogram. What is the value of adjacent angle of the parallelogram?
The ratio between the angles of a quadrilateral is 3 : 4 : 6 : 7. Half the second largest angle of the quadrilateral is equal to the smaller angle of a parallelogram. What is the value of adjacent angle of the parallelogram?
A$136^∘ $
B$126^∘$
C$94^∘$
D$96^∘$
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Correct answer is: \(126^∘\)
Explanation:
\(3x + 4x + 6x + 7x = \Large 360 ^{\circ}\)
\(= 20x = 360^o\)
\(x = 18^o\)
Therefore, smaller angle of the parallelogram = \(\frac{6x}{2}\)
\(= 3x = 54^∘\)
Therefore, Adjacent angle of parallelogram
\(= 180^∘−54^∘=126^∘\)
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