Given:
In circle D, [tex]\angle EDH\cong \angle EDG[/tex].
To find:
The length of JG.
Solution:
We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.
We have,
[tex]\angle EDH\cong \angle EDG[/tex]
It means chords EH and EG are congruent and their measures are equal.
[tex]EH=EG[/tex]
[tex]9=EG[/tex]
Using segment addition property, we get
[tex]EJ+JG=EG[/tex]
[tex]4+JG=9[/tex]
[tex]JG=9-4[/tex]
[tex]JG=5[/tex]
Therefore, the length of JG is 5 units.
