Answer:
[tex]m\angle ABC=124^o[/tex]
Step-by-step explanation:
step 1
Find the measure of arc AC
we know that
The inscribed angle is half that of the arc it comprises.
so
[tex]m\angle ADC=\frac{1}{2}(arc\ AC)[/tex]
substitute the given value
[tex]62^o=\frac{1}{2}(arc\ AC)[/tex]
[tex]arc\ AC=124^o[/tex]
step 2
Find the measure of angle ABC
we know that
Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
[tex]m\angle ABC=arc\ AC[/tex] ----> by central angle
therefore
[tex]m\angle ABC=124^o[/tex]
