Question

Classify each pair of angles as alternate interior, same side interior or corresponding angles

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Short answer

and are corresponding angles

Step-by-step solution

. Observe the diagram

In the diagram, the angles are mentioned by the alphabets A, B, C, D, E, F, G, H, J,K, L respectively.

Step 2. State the definition

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

Corresponding angles: These are the two angles which relative to the two lines are in the corresponding position.

Step 3. State the explanation

Consider the figure

It can be observed that are in the corresponding position with respect to the transversal .

Thus, by using the above definitions, it can be said that are

corresponding angles.