Question

1. m∠abc = 150° solve for x

Explanation:

Step1: Identify angle - sum relationship

We know that \(m\angle ABC=m\angle ABD + m\angle DBC\). So, \(150^{\circ}=5x + 40^{\circ}\).

Step2: Solve for \(x\)

Subtract \(40^{\circ}\) from both sides: \(150 - 40=5x\), which gives \(110 = 5x\). Then divide both sides by 5: \(x=\frac{110}{5}\).

Answer:

\(x = 22\)