in the given figure angle CAB : BAD = 1:2, find all the internal angles of triangle ABC. Share with your friends Share 17 Tanveer Sofi answered this We know that the sum of all angles of a triangle is 180∘.Therefore in triangle ABC∠ABC+∠BCA+∠CAB=180∘⇒x+x+13∘+∠CAB=180∘⇒∠CAB=167∘-2xAlso, ∠CAB+∠DAE+∠BAD=180∘ Supplementary angles⇒167∘-2x+60∘+∠BAD=180∘⇒∠BAD=2x-47∘Now, it is given that∠CAB∠BAD=12⇒167∘-2x2x-47∘=12⇒334∘-4x=2x-47∘⇒6x=381∘⇒x=1272∘Hence, the angles of the triangle ABC are∠ABC=x=1272∘∠BCA=x+13∘=1272∘+13∘=1532∘∠CAB=167∘-2x=167∘-21272∘=40∘. 7 View Full Answer