SOLUTION: This question is off my homework for my Calculus class. This is my last problem and I might just be reading it wrong in my head or something. If you can please help I would appreci

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Question 892072: This question is off my homework for my Calculus class. This is my last problem and I might just be reading it wrong in my head or something. If you can please help I would appreciate it.
"If the supplement of an angle is increased by the complement of the angle the result is 166 degrees. Find the measure of the complement of the angle."
The answers were given to us, we just have to figure out how to get it. The answe is "38"
Thank you.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
d = the measure of the angle.
180-d = the supplement of the angle.
90-d = the complement of the angle.

The description means, if (180-d)+(90-d), then this expression is 166 degrees.







Yes, the complement of 52 degrees is .
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

This question is off my homework for my Calculus class. This is my last problem and I might just be reading it wrong in my head or something. If you can please help I would appreciate it.
"If the supplement of an angle is increased by the complement of the angle the result is 166 degrees. Find the measure of the complement of the angle."
The answers were given to us, we just have to figure out how to get it. The answe is "38"
Thank you.


Let complement of the angle be C

Then angle = 90 – C, and its supplement is: 180 – (90 – C), or 180 – 90 + C, or 90 + C

Therefore, 90 + C + C = 166

2C = 166 – 90

2C = 76

C, or complement of the angle = , or  

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