Question

1. find m ∠ abd. type a response

Explanation:

Step1: Use angle - sum property

The sum of angles on a straight - line is 180°. So, \(3x + 126^{\circ}+3x=180^{\circ}\).

Step2: Combine like terms

\(6x+126^{\circ}=180^{\circ}\).

Step3: Solve for x

Subtract 126° from both sides: \(6x = 180^{\circ}-126^{\circ}=54^{\circ}\). Then \(x=\frac{54^{\circ}}{6}=9^{\circ}\).

Step4: Find \(m\angle ABD\)

Since \(m\angle ABD = 3x\), substitute \(x = 9^{\circ}\), so \(m\angle ABD=3\times9^{\circ}=27^{\circ}\).

Answer:

\(27^{\circ}\)