Question

question 1
find the value of x
(x + 16)°
(4x - 5)°

Explanation:

Step1: Set up equation

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

Step2: Isolate variable terms

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

Step3: Isolate the $x$ - term

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:

$7$