CD←→ is tangent to circle A at point B.
What is the measure of ∠ABD?
45º
60º
90º
180º

The measure [tex]\angle ABD[/tex] is C. [tex]90^{\circ}[/tex]
CD is tangent to the circle A at point B.
We have to find the measure of [tex]\angle[/tex][tex]ABD[/tex].
We know that,
Hence [tex]\angle ABD[/tex] is [tex]90^{\circ}[/tex].The correct option is C. [tex]90^{\circ}[/tex]
For more details about tangent, follow the link:
https://brainly.com/question/1503247