Question

what is the value of x?

x =

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(8x=(3x + 5)+40\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

Subtract \(3x\) from both sides: \(8x-3x=3x + 45-3x\), which gives \(5x=45\). Then divide both sides by \(5\): \(x=\frac{45}{5}\).

Answer:

\(9\)