Question

If M and N are parallel and angle 1 is 135° , what is the measure of angle 7?(1 point) $$ Remaining Attempts : 3

Answer 1

If lines M and N are parallel, and angle 1 measures 135°, then we can use the properties of parallel lines and transversal angles to find angle 7.

When a transversal crosses parallel lines, certain angles formed have specific relationships. Based on the configuration:

1. **Corresponding Angles**: If angle 1 is 135°, then the corresponding angle on line N (assuming angle 7 is a corresponding angle) will also be 135°.

2. **Alternate Interior Angles**: If angle 7 is an alternate interior angle to angle 1, then angle 7 will also be equal to angle 1, so angle 7 would measure 135°.

3. **Same-Side Interior Angles**: If angle 7 is on the same side of the transversal as angle 1, they would be supplementary. That means angle 7 would equal 180° - 135° = 45°.

Without a specific diagram, we can’t definitively say the relationship between angle 1 and angle 7. However:

- If angle 7 is corresponding or alternate interior angle to angle 1, angle 7 = 135°.
- If angle 7 is a same-side interior angle with angle 1, angle 7 = 45°.

Please clarify the position of angle 7 relative to angle 1 for the correct measure!