题目内容
如图,△ABC的外角∠CBD、∠BCE的平分线相交于点F,若∠A=68°,求∠F的度数.
解:
∠F=180°-∠FBC-∠FCB
=180°-1/2∠CBD-1/2∠BCE
=180°-1/2(180°-∠ABC)-1/2(180°-∠ACB)
=1/2(∠ABC+∠ACB)
=1/2(180°-∠A)
=90°-34°
=56° (酌情给分)
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题目内容
如图,△ABC的外角∠CBD、∠BCE的平分线相交于点F,若∠A=68°,求∠F的度数.
解:
∠F=180°-∠FBC-∠FCB
=180°-1/2∠CBD-1/2∠BCE
=180°-1/2(180°-∠ABC)-1/2(180°-∠ACB)
=1/2(∠ABC+∠ACB)
=1/2(180°-∠A)
=90°-34°
=56° (酌情给分)