01-04-2019
Mathematics

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If m EAB = 195 degrees and m EC = 75 degrees what is the measure of angle EDC

If m EAB 195 degrees and m EC 75 degrees what is the measure of angle EDC class=

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calculista calculista

11-04-2019

Answer:

The measure of angle EDC is [tex]60\°[/tex]

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

so

[tex]m<EDC=\frac{1}{2}(arc\ EAB-arc\ EC )[/tex]

substitute the values

[tex]m<EDC=\frac{1}{2}(195\°-75\°)=60\°[/tex]

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