Problema Solution

The degree measure of 4 of the interior angles of a convex pentagon are respectively 78, 104.6, 118.8, an 129.6. Find the degree measure of the fifth interior angle of the pentagon.

Answer provided by our tutors

let x = the degree measure of the fifth interior angle of the pentagon


the sum of all interior angles is 3*180 = 540 degrees


78 + 104.6 + 118.8 + 129.6 + x = 540


by solving we find:


x = 109 degrees


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the measure of the fifth interior angle of the pentagon is 109 degrees.