Question

use the properties of vertical angles to find the value of x
a
(x + 16)°
(4x - 5)°
5
3
7
9

Explanation:

Step1: Set up equation

Vertical angles are equal. So we set $x + 16=4x - 5$.

Step2: Move x - terms to one side

Subtract $x$ from both sides: $16=4x - x-5$, which simplifies to $16 = 3x-5$.

Step3: Isolate the term with x

Add 5 to both sides: $16 + 5=3x$, so $21 = 3x$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{21}{3}=7$.

Answer:

7