No. An angle is (90 minus its complement) degrees. The definition of the complement is "90 degrees minus the original angle".
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45
A 45 degree angle is its own complement; 45 + 45 = 90.
An angle and its complement sum to ninety degrees. 90-52=38
The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees. The complement of an angle is the angle that, when added to the original angle, equals 90 degrees. Therefore, the supplement of the complement of a 38-degree angle would be the angle that, when added to the complement of 38 degrees (52 degrees), equals 180 degrees. This angle would be 128 degrees.
An angle and its complement have to add to 90 degrees. 77 and 13 add to 90. 13 is the complement of 77. You will also be doing supplement. They add to 180.