Question

what is the value of z?

z =

Explanation:

Step1: Use 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, \(24z=(22z - 35)+45\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(z\)

Subtract \(22z\) from both sides:

$$
LATEXBLOCK1
$$

Divide both sides by \(2\): \(z = 5\)

Answer:

\(5\)