Answer:
B. [tex]123^o[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked to find the measure of arc EH.
Since D is the center of circle and [tex]\angle EDH\cong \angle EDG[/tex], so the measure of arcs corresponding to these angles will be also equal.
We can see that angle EDG corresponds to arc EFG.
[tex]\text{The measure of arc EFG}=\text{Measure of arc EF + Measure of arc FG}[/tex]
[tex]\text{The measure of arc EFG}=57^o+66^o[/tex]
[tex]\text{The measure of arc EFG}=123^o[/tex]
Since the measure of arc EFG equals to the measure of arc EH, therefore, the measure of arc EH is also 123 degrees and option B is the correct choice.
