Question

the angle of a quadrilateral are in the rqtio of 2:3:6:7 .find the smallest angle of the quadrilateral

Answer 1

angles be 2x..... 3x..... 6x....... 7x
2x +3x +6x +7x = 360
18 x = 360
x =360/18
x = 20
angles are
40......60....120.....140
smallest angle is....... 40 degree :)...

Answer 2

Hey Friend
Here's Your Answer

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let the ratios be 2x,3x,6x and 7x

you know that, sum of all angles in a quadrilateral = 360°

then, 2 x + 3 x + 6 x + 7 x = 360°

18x = 360°

x = 360/18

x = 20°

then first angle = 2 × 20 = 40°

second angle = 3× 20 = 60°

third angle = 6×20 = 120°

fourth angle = 7×20 = 140°


hence, smallest angle is 40°

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hope it will help you :)