Question

If M
and N
are parallel and angle 1 is 135°
, what is the measure of angle 2?(1 point)
$$
Remaining Attempts : 3
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Answer 1

When two parallel lines (M and N) are cut by a transversal, several angles are formed. Depending on the relationship between angle 1 (135°) and angle 2, we can determine the measure of angle 2.

If angle 1 is 135°, it is likely an exterior angle formed by the transversal. Here are a couple of cases to consider:

1. **If angle 1 and angle 2 are same-side interior angles**, their measures add up to 180°. Since angle 1 is 135°:
\[
\text{Angle 2} = 180° - 135° = 45°
\]

2. **If angle 1 and angle 2 are alternate interior angles**, then angle 2 is equal to angle 1.
\[
\text{Angle 2} = 135°
\]

3. **If angle 1 and angle 2 are corresponding angles**, then angle 2 is also equal to angle 1.
\[
\text{Angle 2} = 135°
\]

Without more information about the position of angle 2 relative to angle 1, we cannot definitively determine the measure of angle 2. However, if we assume they are same-side interior angles, then angle 2 would measure 45°. If they are alternate interior angles or corresponding angles, angle 2 would also measure 135°.

Please clarify how angle 2 is positioned in relation to angle 1 for a more precise answer.