Answer:
x=13
z=79
Step-by-step explanation:
The angles given are supplementary. This means that when added their sum will be 180. So add the 2 expressions together and set them equal to 180.
- This looks like, (8x-25)+(6x+23) = 180.
- Then, combine like terms in the equation to get the next step, 14x-2 = 180.
- Next, add 2 to both sides.
- Finally, divide both sides by 14.
- Therefore, x=13
Then, you have to find z. The angle z is congruent to the angle with the measure (8x-25). This is because they are vertical angles, and therefore congruent. So, plug 13 into the expression, 8(13)-25=79 degrees. Since that angle equals 79, z must also equal 79.
