如图所示，已知∠COB=2∠AOC，OD平分∠AOB,且∠COD=19°求∠AOB度数
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有两解
1、oa是∠COB平分线，则设∠bod=∠aod=x
所以∠aoc=2x,∠COD=3x=19
因此，∠AOB=2x=38/3
2、oa不是∠COB平分线，则设∠aoc=x
所以∠cob=2x,∠aod=∠bod=1.5x,∠cod=0.5x=19
因此，∠AOB=3x=114
1、oa是∠COB平分线，则设∠bod=∠aod=x
所以∠aoc=2x,∠COD=3x=19
因此，∠AOB=2x=38/3
2、oa不是∠COB平分线，则设∠aoc=x
所以∠cob=2x,∠aod=∠bod=1.5x,∠cod=0.5x=19
因此，∠AOB=3x=114
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