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The supplement of an angle x is equal to 180 - x.

The measure of an angle that is nine times its supplement can be written as:

x = 9(180 - x)

You can then solve for the measure of the angle x:

x = 1620 - 9x

10x = 1620

x = 162

Therefore, that angle which is nine times its supplement is itself 162 degrees.

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