Question

Solve for the value of n.

Answer 1

Answer:

n=8

Step-by-step explanation:

9n=8n+8

n=8

{vertical angles are equal}

Answer 2

Answer:

n = 8

Step-by-step explanation:

Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.

Given that  m < (9n)° and m < (8n + 8)° are vertical angles, then it means that they have the same measure. Therefore, we can solve for the value of n by establishing the following equation:

9n = (8n + 8)

9n = 8n + 8

Subtract 8n from both sides:

9n - 8n = 8n - 8n + 8

n = 8

To double-check whether we came up with the correct value for n, substitute n = 8 into the equation:

9n = (8n + 8)

9(8) = [8(8) + 8]

72 = 64 + 8

72 = 72 (True statement)

Therefore, the correct answer is n = 8.

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)