Question

the angles of a quadrilateral are in the ratio of 1:2:3:4, the largest angle is?

Answer 1

Heya !!!

Ratio of the angles of Quadrilateral are 1:2:3:4.


Let X be common multiple to THESE Number.


Then the numbers becomes X , 2X , 3X, 4X.


Therefore,


X + 2X + 3X + 4X = 360

10X = 360


X = 360/10 = 36°.




First angle = X = 36°

Second angle = 2X = 2 × 36° = 72°


Third angle = 3X = 3 × 36° = 108°


And,


fourth angle = 4X = 4 × 36 = 144°.

Hence,


Largest angle is 144°.



HOPE IT WILL HELP YOU..... :-)

Answer 2

Let, angles are x, 2x, 3x, 4x

We know, Sum of angles of a quadrilateral is 360°

Then,

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

10x = 360°

x = 360/10

x = 36°

Then, largest angle = 4x = 4(36°) = 144°

I hope this will help you

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