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What is the measure of angle CED?

There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees

y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE

What is the measure of angle CED There are two triangles labeled ABC and DCE with a common vertex C In triangle ABC angle BAC is labeled as y and angle ABC is l class=

Respuesta :

The measure of angle CED is y. The correct option is the second option-   y, because Triangle ABC is similar to triangle EDC

Similar triangles

From the question, we are to determine the measure of angle CED

In the diagram, we can observe that ΔABC is similar to ΔEDC

This is by the Angle-Angle similarity theorem

The theorem states that

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other

Thus,

Angle CAB = Angle CED

In the diagram,

Angle CAB = y

∴ Angle CED = y

Hence, the measure of angle CED is y. The correct option is the second option-   y, because Triangle ABC is similar to triangle EDC

Learn more on Similar triangles here: https://brainly.com/question/24085502

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