Question

what is the value of z? write your answer as an integer or as a decimal rounded to the nearest tenth. z =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $26z=(24z - 23)+32$.

Step2: Simplify the equation

First, expand the right - hand side: $26z=24z - 23 + 32$. Combine like terms: $26z=24z+9$.

Step3: Solve for z

Subtract $24z$ from both sides of the equation: $26z-24z=24z + 9-24z$. This gives $2z=9$. Then divide both sides by 2: $z=\frac{9}{2}=4.5$.

Answer:

$4.5$