Question

write your answer as an integer or as a decimal rounded to the nearest tenth. z =

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $16z=50 + 9z-11$.

Step2: Simplify the equation

First, simplify the right - hand side: $16z=9z + 39$.

Step3: Solve for z

Subtract $9z$ from both sides: $16z-9z=9z + 39-9z$. This gives $7z=39$. Then, $z=\frac{39}{7}\approx5.6$.

Answer:

$z\approx5.6$