Answer:
The measure of angle GDE is 32 degrees
Step-by-step explanation:
Part 16) we know that
If DG is the angle bisector of angle FDE
then
m∠1=m∠2 (both angles are equal)
substitute the given values
[tex](7x+4)\°=(9x-4)\°[/tex]
solve for x
[tex]9x-7x=4+4[/tex]
[tex]2x=8[/tex]
[tex]x=4[/tex]
Remember that
m∠GDE=m∠1
m∠1=(7x+4)°
substitute the value of x
m∠1=7(4)+4=32°
therefore
The measure of angle GDE is 32 degrees
