https://bgk-photo.cdn.bcebos.com/doc/pic/item/3b87e950352ac65c8c20eeb4fcf2b21192138ad4.jpg如图，B处在A处的南偏西57°的方向，C处在A处的南偏东15°方向，C处在B处的北偏东82°方向．求∠C的度数．
https://bgk-photo.cdn.bcebos.com/doc/pic/item/3b87e950352ac65c8c20eeb4fcf2b21192138ad4.jpg如图，B处在A处的南偏西57°的方向，C处在A处的南偏东15°方向，C处在B处的北偏东82°方向．求∠C的度数．
发布时间：2025-07-09 07:30:53
解：过A沿南向做射线AD交BC于D，由题意∠BAD=57°，∠CAD=15°，∠EBC=82°，∵AD∥BE，∴∠EBA=∠BAD=57°．∴∠ABC=∠EBC-∠EBA=25°．△ABC中，∠ABC=25°，∠BAC=72°，∴∠C=180°-25°-72°=83°．即：∠C的度数为83°．
