The two corners CAB and KAB have a common side AB. What degree can the CAK

The two corners CAB and KAB have a common side AB. What degree can the CAK angle have if the angle CAB = 120 degrees and the angle KAB = 40 degrees?

Given: angle ∠ CAB = 120 degrees and angle ∠ KAB = 40 degrees.

The two corners ∠ CAB and ∠ KAB have a common side AB.

Find: the degree measure of the angle ∠ CAK -?

decision. If two angles have a common side, then the other two rays of these angles form an angle equal to the sum of the two original rays:

∠ CAK = ∠ KNB + ∠ ANK

∠ CAK = 120 + 40

∠ CAK = 160

Answer: ray ∠ CAK is 160.