Question

an angle in quadrilateral measures 72 degree. if other three angles are in the ratio 4:6:8 find all the angles of the quadrilateral?

Answer 1

Hi friend!

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Let's take it as Quadrilateral ABCD,
Angle A = 72°
Remaining angle = 360° - 72° = 288°
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B : C : D : : 4 : 6 : 8
$B = 4x \\ C = 6x \\ D = 8x$
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and that
B + C + D = 288°,
$4x + 6x + 8x = 288° \\ 18x = 288° \\ x = \frac{288°}{18} \\ x = 16°$
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$B = 4x = 4(16°) = 64° \\ C = 6x = 6(16°) = 96° \\ D = 8x = 8(16°) = 128°$

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