Question

ZA and ZB are vertical angles. If mZA = (7x - 8) and mZB = (6x + 17), then find the value of x.

A) x = 9.
B) x = -9.
C) x = 25.
D) x = -25.

Answer 1

By setting the measures of the vertical angles equal to each other and solving for x, we find that the correct value of x is 25, which corresponds to answer choice C.

Step-by-step explanation:

The student's question involves finding the value of x when given that ZA and ZB are vertical angles with the measures mZA = (7x - 8) and mZB = (6x + 17). Since vertical angles are congruent, their measures are equal. Therefore, to find the value of x, we set these two expressions equal to each other and solve for x:

7x - 8 = 6x + 17

Subtract 6x from both sides to get:

x - 8 = 17

Then, add 8 to both sides:

x = 25

Therefore, the correct answer is C) x = 25.