Question

a triangle has interior angle measures of 33°, z, and 64°. what is the value of z?
z = □°

Explanation:

Step1: Recall the sum of interior angles of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(33^{\circ}+z + 64^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

\(33 + 64+z=180\), which is \(97+z = 180\).

Step3: Solve for \(z\)

Subtract \(97\) from both sides of the equation: \(z=180 - 97\).

Answer:

\(83\)