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matching: use the figure below to classify each pair of angles using th…

Question

matching: use the figure below to classify each pair of angles using the vocabulary to the right. answers may be used more than once. a. corresponding angles b. same - side exterior angles c. vertical angles d. linear pairs e. none of these angle pairs 1. ∠4 and ∠5 2. ∠6 and ∠8 3. ∠2 and ∠3 4. ∠3 and ∠5 5. ∠1 and ∠4

Explanation:

Step1: Analyze ∠4 and ∠5

They form a linear - pair. A linear pair of angles are adjacent and supplementary. So the answer for 1 should be D.

Step2: Analyze ∠6 and ∠8

They are vertical angles. Vertical angles are opposite each other when two lines intersect. So the answer for 2 should be C.

Step3: Analyze ∠2 and ∠3

They are vertical angles. So the answer for 3 should be C.

Step4: Analyze ∠3 and ∠5

They are same - side interior angles. But among the given options, the answer is E as there is no correct match.

Step5: Analyze ∠1 and ∠4

They are corresponding angles. So the answer for 5 should be A.

Answer:

  1. D. linear pairs
  2. C. vertical angles
  3. C. vertical angles
  4. E. none of these angle pairs
  5. A. corresponding angles