Question

1. if (mangle ebd = 36^{circ}) and (mangle dbc = 108^{circ}), find (mangle ebc).

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle EBC=\angle EBD+\angle DBC$.

Step2: Substitute given angle measures

Given $m\angle EBD = 36^{\circ}$ and $m\angle DBC=108^{\circ}$, then $m\angle EBC=36^{\circ}+ 108^{\circ}$.

Step3: Calculate the sum

$36^{\circ}+108^{\circ}=144^{\circ}$.

Answer:

$144^{\circ}$