Find the value of X, I need help solving this

C) 16

Step-by-step explanation:

The given angles are vertical with equal measures

82° = 5x + 2 subtract 2 from both sides

80° = 5x divide both sides by 5

16 = x

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!