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in Mathematics by (253 points)
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Each angle of a quadrilateral is x + 5°. Find the value of x.

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1 Answer

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We know that the sum of interior angles of a quadrilateral is 360o.

∠A + ∠B + ∠C + ∠D = 360o

x + 5o  + x + 5o + x + 5o + x + 5o = 360o

4x + 20o = 360o

4x = 360o - 20o

4x = 340o

x = 340o/4 = 85o

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