Question

what is the value of b? b = °

Explanation:

Step1: Use angle - bisector theorem concept

Since the line from \(J\) is an angle - bisector, the two adjacent angles \(7b\) and \(b + 60^{\circ}\) are equal. So we set up the equation \(7b=b + 60\).

Step2: Solve the equation for \(b\)

Subtract \(b\) from both sides of the equation \(7b=b + 60\). We get \(7b−b=b + 60−b\), which simplifies to \(6b=60\). Then divide both sides by 6: \(b=\frac{60}{6}\).

Answer:

\(10\)