When two lines (M and N) are parallel, and a transversal crosses them, several angles are created. If angle 1 is 135°, it is helpful to know the relationships between the angles.
Angle 2, depending on its location relative to angle 1, could be either corresponding, alternate interior, or same-side interior. Based on the relationships of angles formed by parallel lines and a transversal:
- Corresponding Angles: If angle 1 and angle 2 are corresponding angles, then angle 2 is also 135°.
- Alternate Interior Angles: If angle 1 and angle 2 are alternate interior angles, then angle 2 is also 135°.
- Same-Side Interior Angles: If angle 1 and angle 2 are same-side interior angles, then angle 2 will be supplementary to angle 1, meaning angle 2 = 180° - 135° = 45°.
Without knowing the specific configuration of angles 1 and 2, you would typically conclude that:
- If angle 2 is either corresponding or alternate interior to angle 1, then angle 2 = 135°.
- If angle 2 is same-side interior to angle 1, then angle 2 = 45°.
Please clarify the position of angle 2 in relation to angle 1 for a definitive answer.