Respuesta :

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°.
calculista

Answer:

[tex]m<CED=m\°[/tex]  

Step-by-step explanation:

we know that

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

[tex]m<BCA=m<DCE[/tex] ------> by vertical angles

[tex]m<ABC=m<CDE[/tex] ----> given problem

[tex]m<BAC=m<CED[/tex] ----> The sum of the internal angles of the triangle must be equal to [tex]180[/tex] degrees

we have

[tex]m<BAC=m\°[/tex]

so

[tex]m<CED=m\°[/tex]


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