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?
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Answer 1

Let, the four angles of the quadrilateral be x, 3x, 7x and 9x respectively.

We know that the sum of all four angles of a quadrilateral is 360⁰.

Now, BY THE PROBLEM,

x + 3x + 7x + 9x = 360⁰

=》20x = 360⁰

=》x = (360/20)⁰

=》x = 18⁰

The value of x is 18⁰.

So, the value of the four angles of the quadrilateral are 18⁰, 54⁰, 126⁰ and 162⁰ respectively.

hope you are satisfied with the answer.