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Question

In a quadrilateral ABCD, if A=105, B=75
and C=105, then the quadrilateral is a ____


A

Parallelogram

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B

Rhombus

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C

Trapezium

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D

Square

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Solution

The correct option is A

Parallelogram


A+B+C+D=360 (Sum of angles of a quadrilateral)

105+75+105+D=360

D=360(105+75+105)

D=360285=75

D=75

As the opposite angles are equal, the quadrilateral ABCD is a parallelogram.


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