7、As the picture shows，find the value of the unknows∠α=
45
°．
分析：根據(jù)互補(bǔ)的性質(zhì)即可得出四邊形三個(gè)內(nèi)角，然后根據(jù)四邊形內(nèi)角和=360°即可得出答案．
解答：解：根據(jù)互補(bǔ)的性質(zhì)可得出四邊形三個(gè)角分別為150°，65°，100°，
根據(jù)四邊形內(nèi)角和=360°，
∴∠α=360°-150°-65°-100°=45°．
故答案為45°．
點(diǎn)評(píng)：本題主要考查了互補(bǔ)的性質(zhì)及四邊形內(nèi)角和=360°，難度適中．
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