题目内容
7、As the picture shows，find the value of the unknows∠α=45
°．分析：根据互补的性质即可得出四边形三个内角，然后根据四边形内角和=360°即可得出答案．
解答：解：根据互补的性质可得出四边形三个角分别为150°，65°，100°，
根据四边形内角和=360°，
∴∠α=360°-150°-65°-100°=45°．
故答案为45°．
根据四边形内角和=360°，
∴∠α=360°-150°-65°-100°=45°．
故答案为45°．
点评：本题主要考查了互补的性质及四边形内角和=360°，难度适中．
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