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Question
classify ∠1 and ∠2 on each diagram. some words may be used more than once and some may not be used at all. classifique ∠1 y ∠2 en cada diagrama. algunas palabras pueden usarse más de una vez y otras pueden no usarse. a. b. c.
Step1: Recall angle - pair relationships
In geometry, we have different types of angle - pair relationships such as vertical angles, corresponding angles, alternate interior angles, alternate exterior angles, and same - side interior angles.
Step2: Analyze diagram a
In diagram a, ∠1 and ∠2 are vertical angles. Vertical angles are formed when two lines intersect, and they are opposite each other.
Step3: Analyze diagram b
In diagram b, ∠1 and ∠2 are alternate exterior angles. Alternate exterior angles are formed when a transversal intersects two lines, and they are outside the two lines and on opposite sides of the transversal.
Step4: Analyze diagram c
In diagram c, ∠1 and ∠2 are same - side interior angles. Same - side interior angles are formed when a transversal intersects two lines, and they are inside the two lines and on the same side of the transversal.
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a. Vertical angles
b. Alternate exterior angles
c. Same - side interior angles