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Svet_ta [14]
3 years ago
8

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 m, and angle ABC is labeled as 60 degrees. In triangle DCE, angle CDE is labeled as 60 degrees. m, because Triangle ABC is similar to triangle EDC m over 2, because Triangle ABC is congruent to triangle DCE m + 60 degrees, because Triangle ABC is similar to triangle DCE 120 degrees − m, because Triangle ABC is congruent to triangle DCE

Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0
I believe the answer is 60 degrees I am a little confused by that question though
Airida [17]3 years ago
4 0

Answer:

The measure of angle CED is m and option 1 is correct.

Step-by-step explanation:

In triangle ABC and EDC,

\angle ABC=\angle EDC=60^{\circ}                           (Given)

\angle ACB=\angle ECD               (C is common vertex)

By AA property of similarity,

\triangle ABC\sim \triangle EDC

If two triangles are similar, then their corresponding angles are same and the corresponding sides are proportional.

Since triangle ABC is similar to triangle EDC, therefore

\angle CAB=\angle CED

m=\angle CED

Therefore the measure of angle CED is m. Option 1 is correct.

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