Question

The
angles of a quadilataral are in
the ratio 3:4:5:6. Find the angles
of the quadilataral​

Answer 1

Answer:

60°,80°,100°,120°

Step-by-step explanation:

Let the ratios be ' 3x:4x:5x:6x'

Sum of all angles of quadrilateral = 360°

3x+4x+5x+6x = 360°

18x = 360°

x = 360°/18

x = 20°

Therefore, 3x = 60°, 4x = 80°, 5x = 100°, 6x = 120°

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Answer 2

Answer:

angle A=3*20=60°

angle B=4*20=80°

angle C=5*20=100°

angle D=6*20=120°

Step-by-step explanation:

Let the quadrilateral be ABCD

and the common multiple of angles be x

Let A=3x

B=4x

C=5x

D=6x

According to angle sum property

3x+4x+5x+6x=360°

18x = 360°

therefore x=360/18

x=20°

therefore

angle A=3*20=60°

angle B=4*20=80°

angle C=5*20=100°

angle D=6*20=120°