I need help finding unknown angle measures. Please help picture of problem is here.

x=30 , <HFC= 120 , <DBG=60

Step-by-step explanation:

First when I take a look at these types of problems I always make sure to look around and see if there is anything that can help me.

A very key thing to remember is that all angles that are on a line will = 180

So looking at the angles and just normal geometry rules you can know that 2x+4x=180 cause the inner angles add up to 180.

So then if 6x=180 then divide by 6 to get 30 for finding x!

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: