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I don’t understand my head actually hurts from this

I don’t understand my head actually hurts from this-example-1

1 Answer

5 votes

Answer:

AB = 90° , AC = BC = 135°

Explanation:

the arc AB is equal to the measure of the central angle it subtends, then

AB = 90°

the sum of the arcs in a circle = 360° , then since AC and BC are congruent

AB + AC + BC = 360° ( since AC = BC ), then

90° + 2AC = 360° ( subtract 90° from both sides )

subtract 90° from both sides

2AC = 270° ( divide both sides by 2 )

AC = 135°

since AC = BC , then

AC = BC = 135°

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