Answer:
Measure of arc AC = 100°
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
Given : AB and CD are the diameters of the circle K and m∠BKD = 100°
To find : measure of arc AC
Solution :
The angle which is formed by the arc AC is m∠AKC so we need to find the measure of the angle ∠AKC
Now, m∠BKD = 100°
and m∠BKD = m∠AKC ( Vertically opposite angles are always equal)
⇒ m∠AKC = 100°
Hence, Measure of the arc AC = 100°
