In triangle ABC we have angle A=100 and angles B=C=40 The side AB is produced to a point D - Maths - Triangles

Question

In triangle ABC we have angle A=100 and angles B=C=40 The side AB
is produced to a point D so that B lies between A and D and AD=AC
Find angle BCD

Shruti Tyagi · Accepted Answer

Dear student,
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Since AD=AC⇒∠ACD=∠CDA   --[angles opposite to equal sides are equal]In ∆ACD∠ACD+∠CDA+∠CAD=180°⇒x+x+100°=180°⇒2x=180°-100°⇒2x=80°⇒x=80°2⇒x=40°⇒∠ACD=40°But this is not possible as ∠ACB=40°   (given)Recheck your post and get back to us for meanigful help
Regards

In triangle ABC we have angle A=100 and angles B=C=40. The side AB is produced to a point D so that B lies between A and D and AD=AC. Find angle BCD