Question

what is the value of x? (15x + 4)° 7x°

Explanation:

Step1: Identify angle - relationship

The two angles \(7x^{\circ}\) and \((15x + 4)^{\circ}\) are corresponding angles (assuming the lines are parallel), so they are equal.
\[7x=15x + 4\]

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides:
\[0 = 15x-7x + 4\]
\[0=8x + 4\]
Subtract 4 from both sides:
\[-4 = 8x\]
Divide both sides by 8:
\[x=-\frac{4}{8}=-\frac{1}{2}\]

Answer:

\(-\frac{1}{2}\)