In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 2:3:4:6.
Find the measure of each angle of the quadrilateral
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Answered by
11
let the angles be 2x ,3x, 4x,6x
so 2x + 3x + 4x + 6x = 360
⇒ x = 42
so the angles are 24 ×2,24×3,24×4,24×6
i.e. 48,72,96,154
so 2x + 3x + 4x + 6x = 360
⇒ x = 42
so the angles are 24 ×2,24×3,24×4,24×6
i.e. 48,72,96,154
Answered by
9
sum of angles of a quadrilateral =360
the are in the ratio 2:3:4:6
ie, 2x+3x+4x+6x=360
15x=360
x=24.
therefore the angles are 48,72,96,144.
the are in the ratio 2:3:4:6
ie, 2x+3x+4x+6x=360
15x=360
x=24.
therefore the angles are 48,72,96,144.
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