BD平分角ABC,BE把角ABC分成2:5的两部分,角DBE=24°,求角ABE的度数.格式!
问题描述:
BD平分角ABC,BE把角ABC分成2:5的两部分,角DBE=24°,求角ABE的度数.格式!
答
∵BD平分∠ABC∴∠ABD=1/2∠ABC∵BE把∠ABC分成2:5的两部分∴①∠ABE=2/7∠ABC∴∠DBE=∠ABD-∠ABE=1/2∠ABC-2/7∠ABC=3/14∠ABC=24°∴∠ABC=112°∠ABE=32°②∠ABE=5/7ABC∴∠DBE=3/14∠ABC=24°∴∠ABC=112°∠A...