Question

the angles of a quadrilateral are in the ratio 1:2:3:4. find the biggest angle of the quadrilateral

Answer 1

Sum of all angle of a quadrilateral = 360°

let the ratio of angle of quad is x
then 1st angle x
2nd angle 2x
3rd angle 3x
4th angle 4x

and , i have already written sum of all angle of quad is 360°

so, x + 2x + 3x + 4x = 360°

10x = 360°

x = 36°

and. biggest angle must be 4x

so , 4×36° = 144° Answer

Answer 2

Hey Mate!
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Here is your answer :
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Given,

Ratios of angles of Quadrilateral = 1:2:3:4

Let x be the common ratio.

Sum of all angles in Quadrilateral = 360

ATP,

x + 2x + 3x + 4x = 360

10x = 360

x = 360/10

x = 36

The angles are :

First angle = x = 36

Second angle = 2x = 2 × 36 = 72

Third angle = 3x = 3 × 36 = 108

Fourth angle = 4x = 4 × 36 = 144

Therefore,

the bigger angle = 144


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