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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 36°+2z + 2z=180°.

Step2: Combine like - terms

Combining the terms with z, we get 36° + 4z=180°.

Step3: Isolate the variable term

Subtract 36° from both sides: 4z=180° - 36°. So, 4z = 144°.

Step4: Solve for z

Divide both sides by 4: z=\frac{144^{\circ}}{4}=36°.

Answer:

36