如图,在△ABC中,点D在AC上,且AB=AD,∠ABC=∠c+30°,则∠CBD的度数为?

風隱草 1年前 已收到1个回答 举报

bricy 花朵

共回答了13个问题采纳率:84.6% 举报

AB=AD
∠ABD = ∠ADB
∠ABD + ∠ADB + ∠A = 180°
=> ∠ABD = (180°-∠A)/2
∠ABC = ∠C + 30°
∠ABC + ∠C + ∠A = 180°
∠ABC + (∠ABC - 30°) + ∠A = 180°
=> ∠ABC = (210°-∠A)/2
=> ∠CBD = ∠ABC - ∠ABD = 15°

1年前

10
可能相似的问题
Copyright © 2024 YULUCN.COM - 雨露学习互助 - 16 q. 0.025 s. - webmaster@yulucn.com