Question

the four angles of a quadrilateral are in the ratio 1 : 3 : 7 : 9 . which of the following is not the angle of this quadrilateral ?​

Answer 1

Alright, you didn't give the options for the question, but we can solve regardless.

We know that angles in a quadrilateral add up to 360*

And we're given that the angles are in the ratio 1:3:7:9

So, the angles are 1x,3x,7x, and 9x

Now, we can infer:

1x + 3x + 7x + 9x = 360

20x = 360

x = 360/20

x = 18

Now that we have the value of x, we can find the rest of the angles.

Angle 1 = 1x = 18*

Angle 2 = 3x = 3*18 = 54*

Angle 3 = 7x = 7*18 = 126*

Angle 4 = 9x = 9*18 = 162*

So, the 4 angles are 18, 54, 126 and 162

Any of the options that does not have one of these values will be your answer to the question

Hope this helped!

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