Question

interior angles obtained on producing the wall of triangles both way are 104 and 136 find angles of triangle

Answer 1

From the adjacent figure, 

the exterior angle ∠ACD=136°

∴, ∠ACB=180°-136°=44°

the other exterior angle, ∠ABE=104°

∴, ∠ABC=180°-104°=76°

∴, ∠BAC=180°-(∠ABC+∠ACB)

              =180°-(76°+44°)

              =180°-120°

              =60°

∴, the angles of the given triangle are: 76°,60° and 44° Ans.