∠EAD = 180 - ∠FAE (Linear pair)
= 180 - 122 = 58°
Now AB = AC, So ∠ABC = ∠ACB
In triangle ABC,
2∠ABC = 180 - ∠EAD (Angle sum property)
2∠ABC = 122
∠ABC = ∠ACB = 61°
Again, CD = BC
∠ABC = ∠CDB = 61°
In triangle, CDB
2∠CDB = 180 - ∠DCB
∠DCB = 58°
It is given that DE ∥ BC, so
∠x = ∠DCB = (Alternate angles)
∠x = 58°
No of factors of 58 are 1,2, 29 and 58.
Hence, the total numbers of factors of x are 4.
