Question

solve for the value of z.
(5z+1)°
59°
answer attempt 1 out of 2
z =
submit answer

Explanation:

Step1: Identify angle sum

The angles on a straight line sum to \(180^\circ\). Here, we have a right angle (\(90^\circ\)), \(59^\circ\), and \((5z + 1)^\circ\). So, \( (5z + 1) + 90 + 59 = 180 \).

Step2: Simplify the equation

Combine like terms: \(5z + 1 + 90 + 59 = 5z + 150\). So, \(5z + 150 = 180\).

Step3: Solve for z

Subtract 150 from both sides: \(5z = 180 - 150 = 30\). Then divide by 5: \(z = \frac{30}{5} = 6\).

Answer:

\(z = 6\)