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Answer :-
Given :-
∠ ABC = 50°
∠ CAE = 79°
To Find :-
Value of x
Solution :-
∠CAE + ∠CAB = 180° ( Linear pair )
∠CAB + 79° = 180°
∠CAB = 101°
Applying angle sum property of traingle in ∆ ABC :-
⇒ ∠ABC + ∠CAB + ∠ACB = 180°
⇒ 101° + 50° + ∠ACB = 180°
⇒ ∠ACB + 151 = 180°
⇒ ∠ACB = 180 - 151
⇒ ∠ACB = 29°
Now, ED and AC are parallel lines and CD is transversal.
So, ∠ACB = ∠EDC ( corresponding angles )
∠ACB = 29°
∠EDC = x
So,
⇒ x = 29°
Hence, the value of x = 29°