Question

如图,直线AB与CD相交于点O,OE⊥AB,OF垂直CD

Answer 1

1、与∠AOF互余的有∠AOC和∠BOD.∠AOC和∠BOD互为对顶角.

因为∠1=∠2,所以与∠2互补的有∠EOD和∠BOF.

2、∠AOC=1/4∠EOF,∠1=∠2.所以1/4∠EOF+2（90°-1/4∠EOF)=∠EOF,所以∠EOF=144°