Answer:
Part 1) The draw in the attached figure
Part 2) [tex]m\angle ABD=50^o[/tex]
Step-by-step explanation:
Part 1) Draw the described circle
The draw in the attached figure
Part 2) What is the measure of angle ABD
step 1
Find the measure of arc AD
Remember that
[tex]arc\ AD+arc\ DC+arc\ AC=360^o[/tex] ----> by complete circle
substitute the given values
[tex]arc\ AD+124^o+68^o=360^o[/tex]
[tex]arc\ AD=360^o-192^o=168^o[/tex]
step 2
Find the measure of angle ABD
we know that
The measurement of the external angle is the half-difference of the arches that comprise
In this problem
The measure of angle ABD is an external angle
so
[tex]m\angle ABD=\frac{1}{2} [arc\ AD-arc\ AC][/tex]
substitute the given values
[tex]m\angle ABD=\frac{1}{2} [168^o-68^o]=50^o[/tex]
