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# geometry

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What is the measure of AC in the figure below?

Feb 25, 2021

#1
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Hint: We know that $\angle BAC=\frac12\cdot 118$. Then use that the sum of the angles in a triangle are $180$ and apply the inscribed angle theorem once more to finish. (I'll leave it to you to figure out where)

Feb 25, 2021
#2
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since BC is 118, that means that A is 59 degrees because of the inscribed angle theorem (i think thats the right theorem).

add A and C, which is 59 + 48, which is 107

since triangle angles add to 180, 180 - 107 is 73

because of the inscribed angle theorem again, AC is 146

Feb 25, 2021
#3
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Arc AB = 2 times the inscribed anlge    = 2 * 48

then AC = 360 - 118 - 2* 48 = 146 o

Feb 25, 2021