Question

The angles A B C D of a quadrilateral ABCD are in at 2:4:6:8 find the measutes of each angle .

Answer 1

Let the angles be 2a,4a, 6a and 8a respectively

By angle sum property of quadrilateral,

2a +4a +6a +8a = 360

=> 20a = 360

=> a = 18

First angle = 18 ×2 = 36°

Second angle = 18 ×4 = 72°

Third angle = 18 ×6 = 108°

Fourth angle = 18 ×8 = 144°

Answer 2

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