Question

if ( mangle abc = 140^{circ} ) and ( mangle dbc = 36^{circ} ), then ( mangle abd = ) ? ( ^{circ} )

Explanation:

Step1: Analyze the relationship between angles

From the figure, we know that \(m\angle ABC=m\angle ABD + m\angle DBC\).

Step2: Solve for \(m\angle ABD\)

Rearrange the formula: \(m\angle ABD=m\angle ABC - m\angle DBC\).
Substitute the given values: \(m\angle ABD = 140^{\circ}-36^{\circ}\).
Calculate: \(m\angle ABD=104^{\circ}\).

Answer:

\(104\)