Question

Two parallel lines are cut by a transversal as shown below.
Suppose m∠5 = 104°. Find m∠2 and m∠4.
m∠2 = _°
m∠4 = _°

Answer 1

Answer:

Angle 2 = Angle 4 = 76

Step-by-step explanation:

Here, we want to get the measures of angle 2 and angle 4

From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)

The reason for this is because both angles are same side interior angles

Thus,

angle 2 + angle 5 = 180

angle 2 = 180 - angle 5

angle 2 = 180 -104

angle 2 = 76

Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles

Thus, angle 2 = angle 4 = 76