Answer:
The measure of arc ADB is 292°.
Step-by-step explanation:
Given information: Arc(AB)=68°
Points A and B lie on circle C, and point D lies on the major arc formed by A and B.
It means point A and D divides the circle C in two parts.
Arc(AB) = Minor arc by A and B.
Arc(ADB) = Major arc by A and B.
If two points lie on a circle, then
[tex]\text{Major arc + Minor arc}=180^{\circ}[/tex]
In circle C,
[tex]Arc(ADB)+Arc(AB)=360^{\circ}[/tex]
[tex]Arc(ADB)+68^{\circ}=360^{\circ}[/tex]
[tex]Arc(ADB)=360^{\circ}-68^{\circ}[/tex]
[tex]Arc(ADB)=292^{\circ}[/tex]
Therefore the measure of arc ADB is 292°.
