Question

what is the value of z? z = <input box>° the diagram shows a triangle. z - 50° z - 50° 30°

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \((z - 50)+(z - 50)+30=180\).

Step2: Simplify the left - hand side

Combine like terms: \(z-50+z - 50+30=2z-70\). So, \(2z-70 = 180\).

Step3: Solve for z

Add 70 to both sides: \(2z=180 + 70=250\). Then divide both sides by 2: \(z=\frac{250}{2}=125\).

Answer:

125