MathCastle
Grade 4ChallengeAngles

Angles · Challenge problem

Four rays OAOA, OCOC, OBOB, ODOD come out of point OO in that order (so OCOC is between OAOA and OBOB, and OBOB is between OCOC and ODOD). Angle AOBAOB and angle CODCOD are both right angles, so they overlap. The whole angle AODAOD measures 150∘150^\circ. How many degrees is angle COBCOB, where the two right angles overlap?