QUESTION IMAGE
Question
angles formed by a transversal
angles 3 and 6 are:
vertical angles
a linear pair
corresponding angles
alternate interior angles
alternate exterior angles
consecutive interior angles
Step1: Recall definitions
- Vertical angles: Opposite angles formed by two intersecting lines.
- Linear pair: Adjacent angles that form a straight line ($180^{\circ}$).
- Corresponding angles: Angles in the same relative position.
- Alternate interior angles: Non - adjacent interior angles on opposite sides of the transversal.
- Alternate exterior angles: Non - adjacent exterior angles on opposite sides of the transversal.
- Consecutive interior angles: Interior angles on the same side of the transversal.
Step2: Analyze angles 3 and 6
- Angles 3 and 6 are non - adjacent.
- They are on opposite sides of the transversal.
- They are interior angles (between the two lines intersected by the transversal).
Since they meet the criteria for alternate interior angles.
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alternate interior angles