Answer:
Equation: 7x + 8x = 180
x = 12
∠CBA = 84
∠CFH = 96
Explanation:
We can see that ∠CBA = ∠CFE and ∠CBD = ∠CFH.
We know that the sums of two angles on a straight line are going to be equal to 180.
∠CBA = 7x
∠CFH = 8x
To find the value of x, we must do the following:
7x + 8x = 180
15x = 180
15x/15 = 180/15
x = 12
Now we just substitute to find the angle measures:
∠CBA = 7 · 12 = 84
∠ CFH = 8 · 12 = 96