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Question

Angles of a quadrilateral are in the ratio 1:2:3:3. Find the measure of smallest angle of the quadrilateral.


A
40
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B
60
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C
120
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D
None of the above
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Solution

The correct option is A 40

The angles of a quadrilateral are in the ratio 1:2:3:3

Let the angles of the quadrilateral be x,2x,3x,3x

 Sum of angles of a quadrilateral is 360
x+2x+3x+3x=360
9x=360
x=40

The smallest angle is x which is of measure 40.


Mathematics

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