Question

The angles of a quadrilateral are in the ratio of 7:5:4:2. Find all the angles of this quadrilateral.

Answer 1

Answer:

2:4:5:7

Let x be the common multiple.

2x+4x+5x+7x=360

Sum of angles in a quadrilateral is 360 degree.

18x=360

x=20

∴ 2x=2×20=40,

4x=4×20=80,

5x=5×20=100,

7x=7×20=140

40, 80, 100, 140 are angles of quadrilateral.

Step-by-step explanation:

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