Question

the diagram shows a triangle.
what is the value of z?
z = \boxed{\circ}

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(4z + 7 + 60 + 73 = 180\).

Step2: Simplify the equation

Combine like terms: \(4z + 140 = 180\).

Step3: Solve for z

Subtract 140 from both sides: \(4z = 180 - 140 = 40\). Then divide by 4: \(z = \frac{40}{4} = 10\).

Answer:

\(z = 10\)