If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x?
![If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is 4 x 8 degrees what is the value of x class=](https://us-static.z-dn.net/files/d76/7a072561ca55660f377f58c706818b4c.jpg)
Answer:
x=14
Step-by-step explanation:
FGH and EGD are vertical angles.
Vertical angles are congruent.
[tex]4x+8=64\\4x=64-8\\4x=56\\\frac{4x}{4}=\frac{56}{4}\\ x=14[/tex]