Question

If the ratio of four angles of a quadrilateral is 2:4:5:7. Name the type of quadrilateral formed. *​

Answer 1

Answer:

Let the 1st angle be 2x

Let the 2nd angle be 4x

Let the 3rd angle be 5x

Let the 4th angle be 7x

ATP,

2x+4x+5x+7x=360°[angle sum property of a

quadrilateral]

=>18x=360°

=>x=360°/18

=>x=20°

1st angle=2×20°

=40°

2nd angle=4×20°

=80°

3rd angle=5×20°

=100°

4th angle=7×20°

=140°

Therefore, it is a trapezium

Hope it is clear...

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