Question

what is the value of z? z z - 39° z - 37° 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, \(z=(z - 39^{\circ})+(z - 37^{\circ})\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(z\)

Subtract \(z\) from both sides of the equation:
\(0=2z - z-76^{\circ}\)
\(z = 76^{\circ}\)

Answer:

\(76\)