Question

the angle of a quadrilateral are in the ratio of 2:3:5:8 find the measure of each of the four angle ,please solve step by step ​

Answer 1

Answer:

40,60,100,160 degrees are the angles

Step-by-step explanation:

let x be the angles

2x+3x+5x+8x=360°

18x=360°

x=360/18

therefore x =20°

the angles of the quadrilateral are

2*20=40°

3*20=60°

5*20=100°

8*20=160°

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Answer 2

let the common ratio be x

a =2x

b =3x

c =5x

d =8x

2x + 3x +5x +8x = 360°

18 x =360°

x = 20 °

a = 2x =2×20°=40°

b= 3x =3×20°=60°

c =5x=5×20°=100°

d =8x =8×20°=160°