Answer: The value of x in a vertical angle is 25.
Explanation:
So far the givens are:
a vertical angle with 5x + 4 degrees and 8x - 71 degrees
We know that all vertical angles are congruent. Therefore, we also know that the two given equations are equal. So knowing that, we can do:
5x + 4 = 8x - 71
Group like terms:
71 + 4 = 8x - 5x
75 = 3x
25 = x
Hence your answer.