Question

What is the measure of 1 in the trapezoid?

110°
55°
165°
85°

Answer 1

I think the answer is B. 55. Butbi would cheat to make sure.

Answer 2

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,

`125^\circ+m\angle 1=180^\circ\\\\\Rightarrow m\angle 1=180^\circ-125^\circ\\\\\Rightarrow m\angle 1=55^\circ.`

Thus, the required measure of angle 1 is 55°.

Option (B) is CORRECT.