in the figure above, triangle ABC is inscribed in the circle with center O and diameter AC . IF AB=AO, what is the degree measure of /_ABO?
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hello,
AO and BO are radii of the given circle
hence they are equal,AO=BO
but it is given that AO=AB
∴AO=BO=AB
but these are the sides of ΔAOB and all are equal
henceΔAOB is equilateral triangle
∴all the angle will be equal to 60°
∠AOB=∠OBA=∠ABO=60°
HENCE,∠ABO measures 60°
option D is correct
hope this helps,if u like it please mark it as brainliest
AO and BO are radii of the given circle
hence they are equal,AO=BO
but it is given that AO=AB
∴AO=BO=AB
but these are the sides of ΔAOB and all are equal
henceΔAOB is equilateral triangle
∴all the angle will be equal to 60°
∠AOB=∠OBA=∠ABO=60°
HENCE,∠ABO measures 60°
option D is correct
hope this helps,if u like it please mark it as brainliest
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