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Given the reference angle of start fraction, 2, pi, divided by, 9, end fraction 92π​ , find the corresponding angle in Quadrant 22.

Question

Given the reference angle of start fraction, 2, pi, divided by, 9, end fraction 92π​ , find the corresponding angle in Quadrant 22.

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Solution

The reference angle given is 2π/9. This is an angle in the first quadrant.

To find the corresponding angle in the second quadrant, we subtract the reference angle from π (or 180 degrees).

So, the corresponding angle in the second quadrant is π - 2π/9 = 7π/9.

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