The sum of the measures of three interior angles in a convex polygon is 380. The measure of the fourth angles is five less than four times the measure of the fifth angle. Find the measure of the fifth angle.

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the convex polygon is a pentagon

let measure of 5th angle be x

so 380+(4x-5)+x =540

375+5x=540

5x=540-375

5x=165

x=33

measure of 5th angle is 33

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