Question

The angle of quadrilateral are in the ratio 2:3:5:8. Find all the angles of the quadrilateral

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Answer 1

Answer:

Here is the answer

Step-by-step explanation:

The ratio of angles of quadrilateral are 2:3:5:8

⇒  Let the four angles be 2x,3x,5x and 8x

We know, sum of four angles of quadrilateral is 360  degree

 

∴  2x+3x+5x+8x=360  degree

⇒  18x=360  degree

⇒  x=20  degree

 

The angles are,

⇒  2x=2×20  degree

=40  degree

⇒  3x=3×20    degree

=60  degree

⇒  5x=5×20    degree

=100  degree

⇒  8x=8×20    degree

=160  degree

Hope it helps...