Question

Three angles of a quadrilateral are in the ratio
11
:
9
:
3
. The difference between the greatest and the smallest of these angles is
80
°
. Find the fourth angle of the quadrilateral.

Answer 1

Answer:

120 degree is your answer

Step-by-step explanation:

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Answer 2

Three angles of a quadrilateral are in the ratio  11 : 9 : 3.

So, let given angles be 11x , 9x and 3x.

The difference between the greatest and the smallest of these angles is

80°. That means, among the given three angles, the difference between greatest and smallest is 80°.

11x - 3x = 80

8x = 80

x = 10

So the fourth angle is 130° (calculated using angle sum property of a quadrilateral)