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?

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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$96^∘$

Nithin ? Aug 13 '2022 at 10:45

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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A man crosses a stationary bus in 18 seconds. The same bus crosses a pole in 4 seconds. What is the respective ratio between the speed of the bus and the speed of the man ?

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A man crosses a stationary bus in 18 seconds. The same bus crosses a pole in 4 seconds. What is the respective ratio between the speed of the bus and the speed of the man ?

A9 : 2

B9 : 4

C18 : 5

DCannot be determined

prakash ? May 23 '2020 at 16:1

Correct answer is: 9 : 2

Explanation:

If the length of the bus be x metre, then
Required ratio = \(\frac{x}{4} : \frac{x}{18} = 9:2\)

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