Question

The four angles of a quadrilateral are in the ratio 1 : 2:2: 4 Find the measure of each angle.
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Answer 1

1x + 2x + 2x + 4x = 360 (angle sum property)

9x = 360

x = 40°

therefore the angles are 40°,80°,80°and 160°.

Hope it helps ❤

Answer 2

Answer:

Let the quadrilateral be ABCD

so, According to ratio 1 : 2 : 2 : 4

The angles be x, 2x, 2x and 4x

Now

Sum of all interior angles of a quadrilateral

= 360 degree

So

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

9x = 360

x = 40

So angles of quadrilateral

=> x = 40 degree

=> 2x = 2 X 40 = 80 degree

=> 2x = 80 degree

=> 4x = 4 X 40 = 160 degree