Inside the angle BAC, equal to 100 degrees, the AK beam is drawn. Inside the angle of the BAC, the AM

Inside the angle BAC, equal to 100 degrees, the AK beam is drawn. Inside the angle of the BAC, the AM beam is drawn. The angle between the bisectors of the angles BAM and SAK is 70 degrees. Find the angle MAK

Look, we have bisectors. As you know, they divide the corner in half. Therefore, the sum of half of the two angles ВAM and СAK will be equal to 30 degrees, since ВAM = 100 and СAK = 70. Accordingly, BAM-CAK = 100-70 = 30.
It follows from this that the sum of two integer angles 30 * 2 = 60 degrees
We know that ВАС= 100
So we find MAK = 100-60 = 40
Answer: MAK = 40