Question 206933
A pentagon have 5 angles. You are told the sum of the angles is 540 AND that the angles are 5 consecutive even numbers.

Let a be the smallest angle. Then next four even consecutive numbers are a +2, a+ 4, a+6 and a+8.

{{{TotalSum = a + (a+2) + (a+4) + (a+6) + (a+8)}}}
{{{540 = 5a + 20}}}
{{{520 = 5a}}}
{{{104 = a}}}
You are asked to find the larges angle, that would be {{{a+8 = 104+8 = 112}}}