Question

The angles of a quadrilateral are in the ratio 1: 6. 8. 12. Find the angles of the
quadrilateral​

Answer 1

Answer:

Given ratio of angles of quadrilateral = 1 : 6 : 8 : 12

let them be 1x , 6x , 8x and 12x

as we know that sum of all the angles of quadrilateral is 360°

then

1x + 6x + 8x + 12x = 360°

27x = 360°

x = 360/27

x = 40/3 degrees

Therefore, measure of angles will be

1x = 1 x 40/3 = 13.333 degrees

6x = 6 x 40/3 = 80°

8x = 8 x 40/3 = 106.6666...°

12x =. 12 x 40/3  = 160°

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