The speed v of a gear varies inversely as the number of teeth t. If a gear that has 42 teeth makes 24 revolutions per minute (rp
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So let's say that the second angle is x.
Then we can say that the third angle is .
So then we have three angles:
1) 66°
2) x°
3) ()°
So then we can add these together and solve for x by setting it equal to the total degrees left in the triangle after subtracting the known angle:
So now we know that the measure of the second angle is 38°. So then we can use this value to solve for the third angle:
So the values of the angles are:
1) 66°
2) 38°
3) 76°