Answer:
x = 11
Explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91