Answer:
x=8 gdh = 126 fdh= 200 fde=137
Step-by-step explanation:
So first off just solve for x by equaling GDE or (8x-1) to EDH or (6x+15)
Why? Cuz the question tells you that's what they equal, and because if you see your angle picture, you can see how GDH is an angle that's being bisected (cut in half) by a straight (180) line through point D.
Since it's being cut in half, then both sides of the angle GDH are congruent (same). This is why you set them equal to each other. You do that by putting in an equal sign in between them.
You should get x=8 after dividing 16/2.
Now you want to find GDH. (the one angle being bisected)
We start by substituting 8 into GDE, but you can substitute into EDH it should give you 63 since they're congruent.
Now you add 63 (one side of the angle) + (the other side) also 63 = 126.
GDH= 126 (trace it with your finger so you know which angle I mean.
WE WILL COME BACK TO THIS...
*Remember that CDE is part of this picture and is a straight line, so we can just subtract 180- CDF or 43 = 137. FDE equals 137.
NOW all we have to find is FDH.
Now to find FDH (we already have more than half of the obtuse angle because most of it is GDH, which is 63 + 63 = 126) we are adding the other part of FDH, which is its own angle called FDG. To find FDG we must subtract the other part, 126, by FDG, but how can we do that without knowing what the part/angle FDG even is??
Well, remember how CDE is part of this picture and is a straight line, so we can just subtract 180- CDF or 43 = 137. FDE equals 137.
137 -63 = 74
NOW ADD YOUR 74 AND OTHER PART 126 TO GET FDH OR 200. You could also just ADD 137 + 63.
Only a small part of
