lazydog1
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In figure, AB is parallel to DE.

Select from the drop-down menu to correctly complete the statement.

Triangle ABC and triangle DEC are?

"similar" or "not similar"

In figure AB is parallel to DE Select from the dropdown menu to correctly complete the statement Triangle ABC and triangle DEC are similar or not similar class=

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fastpitchhailey1354

Answer: the triangles are similar


Step-by-step explanation: since triangle ABC has an angle of 60° and they are parallel they both have 60° Angle, this means they are similar! Please give brainliest, and hope I helped! Good luck amd have a good day! :)


akposevictor

ΔABC and ΔDEC have two pairs of congruent angles, therefore, based on the AA Similarity Theorem, ΔABC and ΔDEC are similar.

The AA Similarity Theorem

The AA similarity theorem states that if two angles in one triangle are equal to two corresponding angles in another triangle, both triangles are said to be similar to each other.

Since AB is parallel to DE, therefore:

  • m∠D = m∠B = 72°
  • m∠ACB = m∠DCE = 60°

This implies that ΔABC and ΔDEC have two pairs of congruent angles, therefore, based on the AA Similarity Theorem, ΔABC and ΔDEC are similar.

Learn more about the AA Similarity Theorem on:

https://brainly.com/question/2166570

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