Question

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

Explanation:

Step1: Use the right - angle property

The sum of the three angles is \(180^{\circ}\), and one of them is \(90^{\circ}\). So, \((5z + 1)+90+59=180\).

Step2: Simplify the left - hand side

\(5z+1 + 149=180\), which simplifies to \(5z+150 = 180\).

Step3: Solve for \(z\)

Subtract \(150\) from both sides: \(5z=180 - 150\), so \(5z = 30\). Then divide both sides by \(5\): \(z=\frac{30}{5}\).

Answer:

\(z = 6\)