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Question

If the angles of a quadrilateral are in the ratio 3:4:6:7, then the quadrilateral is a___.


A

Angles A & B

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B

Angles B & C

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C

Angles A & C

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D

Angles C & D

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Solution

The correct option is D

Angles C & D


Let ABCD be the given quadrilateral let the angles of the quadrilateral be 3x,4x,6x and 7x.

3x+4x+6x+7x=360 (sum of angles of a quadrilateral)

20x = 360

x=18

Therefore the angles are 3(18)=54,4(18)=72,6(18)=108 and 7(18)=126

Sum of adjancent angles 72+108=180

AB||CD (Cointeriar angles are supplementary).

ABCD is a trapezium. Hence (D)


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