A vertical angle, (x+16) vertical from (4x-5)

Question

use the properties of vertical angle to find the value of x

Answer 1

Vertical angles are opposite each other when two lines intersect. Therefore, vertical angles are congruent.

Given that one vertical angle measures x + 16 and the other vertical angle measures 4x - 5, we can set up an equation to find the value of x.

Since vertical angles are congruent, we can set up the equation:
x + 16 = 4x - 5

Now, let's solve for x:

Subtract x from both sides:
16 = 3x - 5

Add 5 to both sides:
21 = 3x

Divide both sides by 3:
x = 7

Therefore, the value of x is 7.