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
![\text{Major arc + Minor arc}=180^{\circ}](https://tex.z-dn.net/?f=%5Ctext%7BMajor%20arc%20%2B%20Minor%20arc%7D%3D180%5E%7B%5Ccirc%7D)
In circle C,
![Arc(ADB)+Arc(AB)=360^{\circ}](https://tex.z-dn.net/?f=Arc%28ADB%29%2BArc%28AB%29%3D360%5E%7B%5Ccirc%7D)
![Arc(ADB)+68^{\circ}=360^{\circ}](https://tex.z-dn.net/?f=Arc%28ADB%29%2B68%5E%7B%5Ccirc%7D%3D360%5E%7B%5Ccirc%7D)
![Arc(ADB)=360^{\circ}-68^{\circ}](https://tex.z-dn.net/?f=Arc%28ADB%29%3D360%5E%7B%5Ccirc%7D-68%5E%7B%5Ccirc%7D)
![Arc(ADB)=292^{\circ}](https://tex.z-dn.net/?f=Arc%28ADB%29%3D292%5E%7B%5Ccirc%7D)
Therefore the measure of arc ADB is 292°.