Fifth Angle

Middle School Madness - May 23, 2022


Fifth Angle Image

The sum of the measures of the first three interior angles of a pentagon is 345 degrees.  The measure of the fourth angle is the average of the measures of the first three.  Find the measure in degrees of the fifth angle.

Submit answer

Immediately after your correct answer is submitted, your name will be posted here.

Looking for a hint to this week’s problem? Check us out on Instagram @themathcontest

NOTE: Anyone can answer Middle School Madness questions, but only participants 15 years of age or younger will be awarded points and displayed in the rankings.

Past problems
Individual Monthly & Annual Rankings
Leaderboard Monthly & Annual Rankings

Custom Leaderboards Are Here!

Take the competition to the next level and encourage participation by creating custom leaderboards for your students or friends to join. Click below to try it out now!

Get Started with Custom Leaderboards