Question

The angles of a quadrilateral are in the ratio 2:7:4:5. Find the
measure of each angle.​

Answer 1

Answer:

Let their ratio be x,then 2x+7x+4x+5x=360,

18x=360,x=360/18,x=2.

angle a=2×x=2×2=4

angle b=7×x=7×2=14

angle c=4×x=4×2=8

angle d=5×x=5×2=10

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

2a+7a+4a+5a=360°

18a=360°

a=360°/18

a= 20°

•°• 2a=2 x 20° = 40°

7a= 7 x 20° = 140°

4a= 4 x 20° = 80°

5a= 5 x 20° = 100°