Question

question 9 (5 points)
listen
in the figure, find ( mangle abd ) if ( mangle abc = 85^{circ} ) and ( mangle dbc = 61^{circ} ).
a) ( 146^{circ} )
b) ( 24^{circ} )
c) ( 29^{circ} )
d) ( 5^{circ} )

Explanation:

Step1: Identify angle relationship

From the figure, $\angle ABC = \angle ABD + \angle DBC$. So, $m\angle ABD = m\angle ABC - m\angle DBC$.

Step2: Substitute values

Given $m\angle ABC = 85^\circ$ and $m\angle DBC = 61^\circ$. Substitute into the formula: $m\angle ABD = 85^\circ - 61^\circ$.

Step3: Calculate the result

$85 - 61 = 24$, so $m\angle ABD = 24^\circ$.

Answer:

B) $24^\circ$