The measure of the angle is 15°.
Complementary angles have a sum of 90 degrees and supplementary angles have a sum of 180 degrees.
Let the angle be x.
Complement of x = 90 - x
Supplement of x = 180 - x
Their sum is as follows:
90 - x + 180 - x = 240
270 - 2x = 240
-2x = 240 - 270
-2x = -30
x = 15
The measure of the angle is 15°.
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