If angle 1 in the picture is 63° , what is the measure of angle 3? Why?
(1 point)
Responses
There is not enough information in the figure to establish this.
There is not enough information in the figure to establish this.
Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
Angle 3 is 117° because angle 1 and angle 3 form a line.
Angle 3 is 117 degrees because angle 1 and angle 3 form a line.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
Since the picture described is not provided, I cannot visually confirm the relationship between angle 1 and angle 3. However, I can explain the properties of the angle relationships mentioned:
1. **Vertical Angles**: When two lines intersect, they form two pairs of opposite (vertical) angles. These angles are equal. If angle 1 and angle 3 are vertical angles, then angle 3 would also be 63°.
2. **Forming a Line (Linear Pair)**: If angle 1 and angle 3 form a line (they are adjacent and their non-common sides form a straight line), then they are supplementary, meaning they add up to 180°. So if angle 1 is 63°, angle 3 would be 180° - 63° = 117°.
3. **Corresponding Angles**: Corresponding angles are a pair of angles that occupy the same relative position at each intersection where a straight line crosses two lines. If angle 1 and angle 3 are corresponding angles, they would be equal only if the two lines crossed by the straight line are parallel. Without the information on whether the lines are parallel, we cannot confirm that angle 3 is equal to angle 1 solely based on them being corresponding angles.
Given these typical relationships:
- If angle 1 and 3 are vertical angles, then angle 3 is 63°.
- If angle 1 and angle 3 form a line, then angle 3 is 117°.
- If angle 1 and angle 3 are corresponding angles and the lines are parallel, then angle 3 is 63°.
Without the picture or additional information about the relationship between angles 1 and 3, only hypothetical answers based on common angle relationships can be provided.