Question

if ( mangle abc = 122^{circ} ) and ( mangle abd = 71^{circ} ), then ( mangle dbc = ?^{circ} )

Explanation:

Step1: Analyze the relationship between angles

We know that \(\angle ABC=\angle ABD + \angle DBC\) (angle - addition postulate).

Step2: Solve for \(\angle DBC\)

Rearrange the formula: \(\angle DBC=\angle ABC-\angle ABD\).
Substitute the given values: \(\angle DBC = 122^{\circ}-71^{\circ}\).
Calculate: \(\angle DBC=51^{\circ}\).

Answer:

$51$