Question

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

Answer 1

Answer:

The measure of angle EDC is $60\°$

Step-by-step explanation:

we know that

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

so

$m<EDC=\frac{1}{2}(arc\ EAB-arc\ EC )$

substitute the values

$m<EDC=\frac{1}{2}(195\°-75\°)=60\°$