The two corners ADC and KDC share a common DC side. What degree can the ADK

The two corners ADC and KDC share a common DC side. What degree can the ADK angle have if the ADC angle = 130 degrees CDK angle = 30 degrees?

Given: <ADC = 130 degrees, <CDK = 30 degrees, CD is the common side of the corners. What is <ADK? This question has two solutions. First solution: Beam DK is not inside the angle <ADC. Then <ADK = <ADC + <CDK = 130 + 30 = 160 (degrees). Second solution. The CD beam is inside the angle <ADC. Then the angle <ADK = <ADC – <CDK = 130 – 30 = 100 (degrees).
Answers: 1) <ADK = 160 degrees. 2) <ADK = 100 degrees.