Question

-] The angles of a quadrilateral are in the ratio 2:5:3:8 find angles respectively.​

Answer 1

Answer:

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 360o

∴  2x+3x+5x+8x=360o

⇒  18x=360o

⇒  x=20o

The angles are,

⇒  2x=2×20o=40o

⇒  3x=3×20o=60o 

⇒  5x=5×20o=100o

⇒  8x=8×20o=160o

∴  The smallest angle of the quadrilateral is 40o

Answer 2

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

o

∴ 2x+3x+5x+8x=360

o

⇒ 18x=360

o

⇒ x=20

o

The angles are,

⇒ 2x=2×20

o

=40

o

⇒ 3x=3×20

o

=60

o

⇒ 5x=5×20

o

=100

o

⇒ 8x=8×20

o

=160

o

∴ The smallest angle of the quadrilateral is 40

o

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