Question

the angles of a quadrilateral are in the ratio 5:10:15:20.find the angles of a quadrilateral​

Answer 1

Answer:

Let the angles be x.

5x+10x+15x+20x=360°

50x=360°

x=360°÷50

x= 7.2°

The angles are:-

5x= 36°

10x= 72°

15x= 108°

20x= 144°

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Answer 2

$\huge \bf \underline{ \underline{Question}}$

The angles of a quadrilateral are in the ratio 5:10:15:20. Find the angles of a quadrilateral.

$\huge \bf \underline{ \underline{Answer}}$

$\sf \: let \: us \: consider \: each \: angle \: as \: x$

$\sf Therefore, 5x+10x+15x+20x = 360°$

$\sf (sum \ of \ angles \ of \ quadrilateral = 360°)$

$\sf So, 50x = 360°$

$\sf x = 7.2°$

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$\sf \rightarrow 5x = 36°$

$\sf \rightarrow 10x = 72°$

$\sf \rightarrow 15x = 108°$

$\sf \rightarrow 20x = 144°$

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