Answer:
x = 7.57894737 or 7.6
Step-by-step explanation:
1. The First step in this is understanding certain types of angles.
The one you will need to know here is a supplementary angle:
Either of 2 angles who's sum is 180 degrees.
Looking at the image there is a supplementary angles at the intersection area where C is located on line ET. Therefore you do the math for that
180 (degrees) - 118 (degrees) = 62 degrees
2. Now you found a missing angle within your triangle (62 degrees). Your next step is understanding the triangle itself.
A triangle's sum is 180 degrees
Knowing this you can create an equation that defines it such as the following:
62(degrees) + 10x + 9x+4 = 180degrees
3. SOLVE FOR X
62 + 10x + 9x + 4 = 180 1. Combine Like Terms
66 + 19x = 180 2. Put Common Like Terms on Same Side
(Subtract 66)
19x = 144 3. Divide to make into 1 "x"
x = 7.57894737 or 7.6
