Question

如下图，角AOB=角COD=90° （1）角AOC等于角BOD吗？ （2）若角BOD=150°，则角BOC等于多少度？

前一张图错了，换了一张正确的

Answer 1

(1)
角AOC=角AOD+角COD
角BOD=角AOB+角AOD
因为角AOB=角COD=90°
所以角AOC等于角BOD
(2)
角BOD=角AOB+角AOD=角AOD+90° =150°
角AOD=60°
角BOC=360°-(角COD+角AOD+角AOB)
=360°-(90°+60°+90°)
=120°
或角BOC=角COD+角AOD+角AOB=240°

Answer 2

(1)
角AOC=角AOD+角COD
角BOD=角AOB+角AOD
因为角AOB=角COD=90°
所以角AOC等于角BOD
(2)
角BOD=角AOB+角AOD=角AOD+90° =150°
角AOD=60°
角BOC=360°-(角COD+角AOD+角AOB)
=360°-(90°+60°+90°)
=120°

Answer 3

(1)
角AOC=角AOD+角COD
角BOD=角AOB+角AOD
因为角AOB=角COD=90°
所以角AOC等于角BOD
(2)
角BOD=角AOB+角AOD=角AOD+90° =150°
角AOD=60°
角BOC=360°-(角COD+角AOD+角AOB)
=360°-(90°+60°+90°)
=120°
或角BOC=角COD+角AOD+角AOB=240°

Answer 4

240°或60°

Answer 5

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