Find x in circle O (The figure is not drawn to scale)

Mathematics

1 answer:

KIM [24]2 years ago

4 0

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

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