Question

∠cbd = 38°. find ∠abd =

Explanation:

Step1: Observe the angle relationship

We can see that \(\angle ABC = 90^{\circ}\) and \(\angle ABC=\angle ABD+\angle CBD\).

Step2: Solve for \(\angle ABD\)

We know that \(\angle ABD=\angle ABC - \angle CBD\). Given \(\angle ABC = 90^{\circ}\) and \(\angle CBD = 38^{\circ}\), so \(\angle ABD=90^{\circ}- 38^{\circ}\).

Answer:

\(52^{\circ}\)