Question

In the figure below, line / line m. If the measure of Z1 =125° and the measure of <=50', then what is the measure of

25 ?
5
34
m
05
O 75
O 55
O 105

Answer 1

Answer: angle 5 is 55 degrees.

Start by solving for angle 2 by using the linear pair rule: all linear angles sum to 180

125 + angle 2 = 180

angle 2 = 55

Now, we know that line l and line m are parallel. If we look at these two lines plus the left side of the triangle, we can see it forms a z shape. This means angle 2 and angle 5 are alternate exterior angles. This means they are congruent.

Answer 2

55 because alternate interior angles are congruent and then you can do some basic algebra