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ziro4ka [17]
3 years ago
6

What is the measure of angle CED?

Mathematics
2 answers:
Inessa [10]3 years ago
8 0

Answer:

m  

Step-by-step explanation:

we know that

Triangles ABC and CDE are similar triangles, because the corresponding angles are congruent

m ------> by vertical angles

m ----> given problem

m ----> The sum of the internal angles of the triangle must be equal to 180 degrees

we have

m

so

m


ANEK [815]3 years ago
3 0
Angle CED must also measure 60°. 
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
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