Question
Angles and Parallel Lines Practice
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Question
If M
and N
are parallel and angle 1 is 135°
, what is the measure of angle 7?(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
View previous attempt
Question
If M
and N
are parallel and angle 1 is 135°
, what is the measure of angle 7?(1 point)
Answers
Answered by
GPT-4o mini
To determine the measure of angle 7, we need to use the properties of angles formed by parallel lines and a transversal.
If M and N are parallel lines and there is a transversal that creates angle 1 (135°), we can identify the relationship between angle 1 and angle 7 based on their positions.
Assuming angle 1 and angle 7 are corresponding angles, alternate interior angles, or consecutive interior angles:
1. **Corresponding Angles**: If angle 1 and angle 7 are corresponding angles, then angle 7 would also be 135°.
2. **Alternate Interior Angles**: If angle 1 and angle 7 are alternate interior angles, then angle 7 would also be 135°.
3. **Consecutive Interior Angles**: If angle 1 and angle 7 are consecutive interior angles, they are supplementary angles, which means angle 7 would be 180° - 135° = 45°.
Since the type of angle relationship isn't specified, please clarify if angle 7 is corresponding, alternate interior, or consecutive interior, but the most common cases with given information usually show that angle 7 can be 135°.
For accurate help, more information about the relative positions of angles would be needed. If angle 7 is indeed supplementary to angle 1, then angle 7 would measure 45°. Otherwise, if they share the same transversal and are congruent (corresponding or alternate interior), angle 7 would also be 135°.
If M and N are parallel lines and there is a transversal that creates angle 1 (135°), we can identify the relationship between angle 1 and angle 7 based on their positions.
Assuming angle 1 and angle 7 are corresponding angles, alternate interior angles, or consecutive interior angles:
1. **Corresponding Angles**: If angle 1 and angle 7 are corresponding angles, then angle 7 would also be 135°.
2. **Alternate Interior Angles**: If angle 1 and angle 7 are alternate interior angles, then angle 7 would also be 135°.
3. **Consecutive Interior Angles**: If angle 1 and angle 7 are consecutive interior angles, they are supplementary angles, which means angle 7 would be 180° - 135° = 45°.
Since the type of angle relationship isn't specified, please clarify if angle 7 is corresponding, alternate interior, or consecutive interior, but the most common cases with given information usually show that angle 7 can be 135°.
For accurate help, more information about the relative positions of angles would be needed. If angle 7 is indeed supplementary to angle 1, then angle 7 would measure 45°. Otherwise, if they share the same transversal and are congruent (corresponding or alternate interior), angle 7 would also be 135°.