Question

the diagram shows a triangle. what is the value of z? z = submit

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(8z + 10z+36 = 180\).

Step2: Combine like terms

\(18z+36 = 180\).

Step3: Isolate the term with \(z\)

Subtract \(36\) from both sides: \(18z=180 - 36\), so \(18z = 144\).

Step4: Solve for \(z\)

Divide both sides by \(18\): \(z=\frac{144}{18}\).

Answer:

\(z = 8\)