Math, asked by abhishek4925, 1 year ago

The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4 . If the sum of the angle of a quadrilateral is 360°, find the measure of each angle.

Answers

Answered by TooFree

138

Ratio = 1 : 2 : 3 : 4

Define x:

Let x be the constant ratio

Ratio : 1x : 2x : 3x : 4x

Solve x:

1x + 2x + 3x + 4x = 10x

10x = 360

x = 36

Find each angle:

x = 36°

2x = 2(36) = 72°

3x = 3(36) = 108°

4x = 4(36) = 144°

Answer: The angles are 36°, 72°, 108° and 144°

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Answered by cathrin12

let the angles be 1x,2x,3x,4x

we know that sum of the angles of a quadrilateral is 360°

therefore,
x +2x+3x+4x =360
10x=360
x=360/10
x= 36

therefore ,angles are :
x=36
2x=2×36=72
3x=3×36=108
4x=4×36=144
.........
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abhinavkumarcpebrxl: 36, 72, 108, 144

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