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题型:解答题 题类:常考题 难易度:普通

辽宁省沈阳市皇姑区2021-2022学年七年级上学期期末数学试题

填空,完成下列说理过程:如图,直线EF和CD相交于点O,∠AOB=90°,OC平分∠AOF,∠AOE=40°.求∠BOD的度数.

解:∵∠AOE=40°(已知)

∴∠AOF=180°﹣                  ▲                  (邻补角定义)

=180°﹣                  ▲                  °

                  ▲                  °

∵OC平分∠AOF(已知)

∴∠AOC∠AOF(                  ▲                  

∵∠AOB=90°(已知)

∴∠BOD=180°﹣∠AOB﹣∠AOC(                  ▲                  

=180°﹣90°﹣                  ▲                   °

                  ▲                  °

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