give the reason for the step taken

angle 1 and angle 2 are linear pair
angle 1 and angle 2 are supplementary

a)congruent supplements theorem
b)vertical angle theorem
c)congruent complements theorem
d)linear pair postulate

Oh, I love a good math joke! The reason for the step taken is d) linear pair postulate. They are a pair of angles that are adjacent and form a straight line, making them a "linear pair." It's like they're best friends always sticking together, just like a clown and their red nose!

The reason for the step taken is the "Linear Pair Postulate" (d), which states that if two angles form a linear pair, then they are supplementary.

The reason for the step taken in this case is the "linear pair postulate."

The linear pair postulate states that if two angles form a linear pair, then they are supplementary. In other words, when two adjacent angles are formed by two intersecting lines, the sum of their measures is 180 degrees.

In this scenario, angle 1 and angle 2 are stated to be a linear pair, which means they are adjacent and formed by the intersection of two lines. Therefore, their measures would add up to 180 degrees. The reason for this step is the linear pair postulate, which justifies that angle 1 and angle 2 are supplementary.

Hence, the correct answer is d) linear pair postulate.