You start with a regular pentagon ABCDE. Then you draw two circles: one with centre A and radius AB, and the other with centre B and radius BA. Let the point inside the pentagon at which these two circles intersect be X.
What is the size of DEX?
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Olympiad 2022 (2022)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Olympiad 2022 (2022)