Question

The angles of a quadrilateral are in the ratio of 4:5:4:5 Find the angles and give a special name to the quadrilateral​

Answer 1

Answer:

ratio=4:5:4:5

let angles=4x,5x,4x,5x

sum of angles is 360°

So, 4x+5x+4x+5x=360

18x=360°

x=360°/18=20°

4x=4×20=80°

5x=5×20=100°

So, we can name the quadrilateral as a parallelogram.

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Answer 2

Answer:

4x= 80

5x=100

Step-by-step explanation:

given ratio= 4:5:4:5

then the angle be x

so, 4x,5x,4x,5x=360° (sum of angles of

quadrilateral is 360°)

18x =360°

therefore x=20°

therefore 4x= 4×20°

=80°

and 5x=5×20°

=100°

And the name of the quadrilateral is //gm.

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