An angle = x
Supplement of the angle = 180 - x
One half of the supplement of the angle = (180 - x) / 2
Complement of the angle = 90 - x
7 times the complement of the angle = 7(90 - x)
7 less than 7 times the complement of the angle = 7(90 - x) - 7
"is" means =
(180 - x) / 2 = 7(90 - x) - 7
180 - x = 14(90 - x) - 14
180 - x = 1260 - 14x - 14
180 - x = 1246 - 14x
180 + 13x = 1246
13x = 1066
x = 82
Answer: 82 degrees.
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Check:
Supplement of 82 = 180 - 82 = 98
One half of the supplement = 98/2 = 49
Complement = 90 - 82 = 8
7 times the complement = 7 * 8 = 56
7 less than 7 times the complement = 56 - 7 = 49
It works.