Question

in the given figure find the measure of angle ACD​

Answer 1

In ΔABM,

x+30°+90°=180°   (by angle sum property)

x=180°-120°

⇒∴x=60°

Exterior angle=Sum of opposite interior angles

∠ACD=∠ABC+∠BAC

∠ACD=30°+(x+x)

∠ACD=30°+60°+60°

∠ACD=150°

Hope it helps u :)

Answer 2

please find the explanation in the above attached file .