Question

find (mangle abd) if (mangle abc = 110^{circ}) and (mangle 2=36^{circ}).

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABC=\angle ABD + \angle 2$.

Step2: Rearrange the formula to find $\angle ABD$

$\angle ABD=\angle ABC-\angle 2$.

Step3: Substitute given values

Given $\angle ABC = 110^{\circ}$ and $\angle 2=36^{\circ}$, so $\angle ABD=110^{\circ}- 36^{\circ}$.

Step4: Calculate the result

$\angle ABD = 74^{\circ}$.

Answer:

$74^{\circ}$