Explanation

∴ Triangle ABC is isosceles.

:∠ACB = ∠ABC  
∠ACD = 180° - ∠ACB (angle on a straight line)  
Let  ∠ACB = ∠ABC = x  
.: 2x + 50 = 180° (sum of angles in a triangle)  
2x = 130°

 x = 65°  
.: ∠ACB = 65° ==>  ∠ACD = 180° - 65° = 115°

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