The sum of the measures of three interior angles in a convex polygon is 380. The measure of the four

Mathematics
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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.

Jun 24th, 2015

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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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Jun 24th, 2015

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