Question

what is the value of z? z =

Explanation:

Step1: Use the triangle - angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(2z+2z+(3z - 2)=180\).

Step2: Combine like terms

Combine the \(z\) terms: \((2z+2z + 3z)-2=180\), which simplifies to \(7z-2 = 180\).

Step3: Isolate the variable term

Add \(2\) to both sides of the equation: \(7z-2+2=180 + 2\), so \(7z=182\).

Step4: Solve for \(z\)

Divide both sides by \(7\): \(z=\frac{182}{7}\).

Answer:

\(z = 26\)