The value of ∠1 is 38 degree , Option B is the correct answer.
What is a Parallelogram ?
Parallelogram is a polygon with four sides , Opposite sides are parallel and equal.
From the figure given
One of the angle is 104 degree
when two lines are parallel and intersected by a transversal
then the sum of the consecutive interior angles is 180 degree
∠1 + ∠2 = 180 -104 = 76 degree
similarly the other two lines are parallel with each other
so ∠1 = ∠4
∠3 = ∠2
Therefore the diagonals are bisecting the angle and so
the value of ∠1 = 76 / 2 = 38 degree
Therefore , The value of ∠1 is 38 degree , Option B is the correct answer.
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