Respuesta :

the angles around the point a total 360°
the lines AB and AC make a sector of the circle.
we are told that the circumference of that sector is 2/5 of the total circumference
so 360/5 ×2 =144

x = 144°

the following ratio is true for the given circle

[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex]

that is [tex]\frac{2}{5}[/tex] = [tex]\frac{x}{360}[/tex] ( since AB is 2/5 circumference )

cross-multiply

5x = 720 ( divide both sides by 5 )

x = 144


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