Question

name
finding missing measures usin
draw and label your angles with the given information. s
if (mangle abc = 46^{circ}) and (mangle cbd = 34^{circ}), find (mangle abd).

Explanation:

Step1: Identify angle - addition relationship

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

Step2: Substitute given angle - measures

Given $m\angle ABC = 46^{\circ}$ and $m\angle CBD=34^{\circ}$, then $m\angle ABD=46^{\circ}+ 34^{\circ}$.

Step3: Calculate the sum

$m\angle ABD = 80^{\circ}$

Answer:

$80^{\circ}$