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refer new diagram
Given:-
l || m
∠ABC = 40°, ∠ADF = 60°
and ∠BAC = x°
To find:-
value for x
Solution:-
Since l || m and consider AD as transversal
•°• By corresponding angle
∠ADF = ∠ACE = 60° ....(1)
now,
∠ACB + ∠ACE = 180° ......{straight line}
∠ACB + 60 = 180
∠ACB = 180 - 60
∠ACB = 120° .....(2)
now,
In triangle ABC , ∠ABC = 40° and ∠ACB = 120°
Sum of all angles of triangle is 180°
•°• ∠ABC + ∠ACB + ∠BAC = 180°
40 + 120 + x = 180
160° + x = 180
x = 180 - 160
x = 20°
- Answer
The value of x is 20°.
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