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What is the measure of AC

What is the measure of AC
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1 vote
What is the measure of AC

What is the measure of AC-example-1
asked
User Emmanuel Mendoza
by
7.9k points

1 Answer

5 votes
Angle ABC is an inscribed angle so would be half of the arc.
So, 4x-5.5=1/2(5x+25)
4x-5.5=5/2x+25/2
4x-5.5=2.5x+12.5
4x-2.5x=12.5+5.5
1.5x=18
x=12

So angle ABC=4(12)-5.5=48-5.5=42.5
Arc AC=5(12)+25=60+25=85

Check: 42.5(2)=85

Answer: Arc AC is 85
answered
User Koraktor
by
8.0k points
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