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if ( mangle abd = 76^{circ} ) and ( mangle dbc = 68^{circ} ), then ( ma…

Question

if ( mangle abd = 76^{circ} ) and ( mangle dbc = 68^{circ} ), then ( mangle abc=) ?

Explanation:

Step1: Identify the relationship between angles

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

Step2: Substitute the given angle measures

Given $m\angle ABD = 76^{\circ}$ and $m\angle DBC=68^{\circ}$, then $m\angle ABC=76^{\circ}+68^{\circ}$.

Step3: Calculate the sum

$76 + 68=144$.

Answer:

$144$