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Two transversals intersect two parallel lines as shown explain whether angle ABE and angel DCE are similar and list the corresponding pairs of angles

Two transversals intersect two parallel lines as shown explain whether angle ABE and angel DCE are similar and list the corresponding pairs of angles class=

Respuesta :

The transversal going up and right makes the same angles with the parallel lines, so angles EBA and ECD are equal, By similar logic, angles EAB and EDC are equal. Angles in a triangle must add to 180, so the third angle in both triangles must be the same. Therefore, the two triangles are similar.
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Answer:

The transversal going up and right makes the same angles with the parallel lines, so angles EBA and ECD are equal, By similar logic, angles EAB and EDC are equal. Angles in a triangle must add to 180, so the third angle in both triangles must be the same. Therefore, the two triangles are similar.

Step-by-step explanation:

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