Question

find the measure of the given angle. find (mangle abc) if (mangle abd = 70^{circ}) and (mangle dbc = 43^{circ}).

Explanation:

Step1: Identify angle - addition postulate

By the angle - addition postulate, $m\angle ABC=m\angle ABD + m\angle DBC$.

Step2: Substitute given values

Substitute $m\angle ABD = 70^{\circ}$ and $m\angle DBC = 43^{\circ}$ into the formula. So, $m\angle ABC=70^{\circ}+ 43^{\circ}$.

Step3: Calculate the sum

$70^{\circ}+43^{\circ}=113^{\circ}$.

Answer:

$113^{\circ}$