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 $\angle ABC=\angle ABD+\angle DBC$.

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:

$51$