The largest angle is **112 degrees**.

The first step is knowing that the sum of the interior angles of a *n*-sided polygon adds up to 180(n-2) degrees.

For a pentagon, that is 540 degrees, with an average interior angle of 108 degrees. Since we want a sequence of consecutive even numbers, that sequence is 104, 106, 108, 110, 112.

rycharde (59)· 5 months ago:-)

Have just posted this extension: Brainsteem Mathematics Challenges: Even Angles in a Polygon.

josephace135 (64)· 5 months agoAgreed that 112 degrees is the largest interior angle of the said pentagon.

This sounds interesting @rycharde!

rycharde (59)· 5 months agoThanks, have you tried the extension?