Question

A quadilateral has its sides in the ratio 1:2:3:4. If its largest

Answer 1

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Answer 2

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Let the angles are x , 2x , 3x and 4x.





Sum of all angles of a quadrilateral = 360°


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


10x = 360


x = 360/10


x = 36



First angle = x = 36°


Second angle = 2x = 72°


Third angle = 3x = 108°


And,

Fourth angle = 4x = 144° .



So,

The greatest angle is 144° .