Respuesta :

Answer:

x = 7

Step-by-step explanation:

x+16 = 4x-5

7+16=23

4x7=28-5=23

Vertical angle theorem states that angles vertically opposite to one another are equal

The vertical angle theorem says that angels across each other will equal the same value so using that logical we can start by setting the two angle value equal to each other and solve this we get x by itself.

x + 16 = 4x - 5
(Combine like terms with each other)

21 = 3x
(Divide by 3 on both sides of the equals sign to get x by itself)

x = 7


Hope this helps!!!