Question

solve for the value of z.
answer attempt 1 out of 2
z =

Explanation:

Step1: Use the angle - sum property of a straight line

The sum of angles on a straight line is \(180^{\circ}\). Here, one angle is \(90^{\circ}\) (right - angle), another is \(59^{\circ}\), and the third is \((5z + 1)^{\circ}\). So, \((5z+1)+90 + 59=180\).

Step2: Simplify the left - hand side of the equation

First, add the constant terms: \(5z+1+149 = 180\), which simplifies to \(5z+150=180\).

Step3: Isolate the term with \(z\)

Subtract \(150\) from both sides of the equation: \(5z=180 - 150\). So, \(5z=30\).

Step4: Solve for \(z\)

Divide both sides by \(5\): \(z=\frac{30}{5}\).

Answer:

\(z = 6\)