Convex angle

There is a circle k (S; r), and a point A, which lies on this circle. There is also a point B on the circumference, for which it is true that in one direction, it is five times further from point A than in the opposite direction (around the circumference of the circle). Find the magnitude of the BSA convex angle.

Correct answer:

BSA =  60 °

Step-by-step explanation:

o1 = 2   π   r   α/360 o2 = 2   π   r   β/360  o = o1 + o2 2   π   r =   2   π   r   α/360 + 2   π   r   β/360  1 = α/360 + β/360 360 = α + β  o2 = 5   o1  x + y = 360   y = 5 x  x+5 x=360  6x=360  x=6360=60  x=60  BSA=BSA=x=60=60

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