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Question

The four angles of a quadrilateral are as 3:5:7:9. Find the angles.


Solution

Sum of four angles of a quadrilateral 360and ratio in angles = 3:5:7:9
Let first angles = 3x
Then second angle=5x
third angle=7x
and fourth angle=9x
3x+5x+7x+9x=36024x=360x=36024=15
First angle =3x= 3×15=45
Second angle =5x= 5×15=75
third angle =7x= 7×15=105
and fourth angle=9x= 9×15=135


Mathematics
RD Sharma
Standard VIII

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