Answer: The correct option is (B) 55°.
Step-by-step explanation: We are given to find the measure of angle 1 in the trapezoid shown in the figure.
We know that
one pair of sides of a trapezoid are parallel to each other.
As shown in the figure, the base of the trapezoid and its opposite side are parallel to each other.
Also, they are cut by a tranversal such that the angle 1 and the angle with measure 125° are interior angles on the same side of the transversal.
So, the sum of the measures must be equal to 180°.
That is,
[tex]125^\circ+m\angle 1=180^\circ\\\\\Rightarrow m\angle 1=180^\circ-125^\circ\\\\\Rightarrow m\angle 1=55^\circ.[/tex]
Thus, the required measure of angle 1 is 55°.
Option (B) is CORRECT.
