Question

The angles of a quadrilateral are in the ratio of 2: 3: 5: 8. Find the measure of eacn angle​

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 360

o

∴ 2x+3x+5x+8x=360

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⇒ 18x=360

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⇒ x=20

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The angles are,

⇒ 2x=2×20

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=40

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⇒ 3x=3×20

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=60

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⇒ 5x=5×20

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=100

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⇒ 8x=8×20

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=160

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∴ The smallest angle of the quadrilateral is 40

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Answer 2

Answer:

let rational number = x

A/Q

2x+3x+5x+8x=360degree

18x=360 degree

x=360/18

x=20degree

first angle=20×2=40degree

second angle=20×3=60degree

third angle=20×5=100degree

fourth angle=20×8=160degree