What is the measure of AC

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

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

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