If the measure of FGK =4w+4 and the measure of FGH= 136, find w. FGK is the whole angle. GK bisects and FGH.

FGK = 4W + 4 2FGH = 2*136,

4W + 4 = 2*136 = 272,
4W = 272 - 4 = 268,
W = 268 / 4 = 67.

4w+4= half of 136

4w+4=68
4w=68-4
4w=64
w=64/4
w=16

To find the value of w, we need to use the information given about the angles FGK and FGH.

First, we know that GK bisects angle FGH, which means that angle FGK is split into two equal angles, FGH and GKH.

Let's set up an equation using this information.
Since FGK is the whole angle, we have:
FGH + GKH = FGK

Since we know that the measure of FGH is 136 degrees, we can substitute it into the equation:
136 + GKH = FGK

Now, let's use the information given in the question about the measure of FGK in terms of w. We know that:
FGK = 4w + 4

Substituting this expression into the equation above, we have:
136 + GKH = 4w + 4

To isolate w, we need to solve for GKH. Since GKH is equal to FGH, which is given as 136 degrees, we can substitute it into the equation:
136 + 136 = 4w + 4

272 = 4w + 4

Subtracting 4 from both sides:
268 = 4w

Finally, dividing both sides by 4:
w = 268/4
w = 67

Therefore, the value of w is 67.