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Question
The measure of an angle is 3 times as great as its compliment. Which is measure of smaller angle? 22.5, 27.5, 63.5, or 67.5
The measure of the angle is X.
The angles compliment is 90°-X.
The problem states that X = 3(90°-X).
That works out to X = 270° - 3X.
Add 3X to both sides and you get 4X = 270°.
Divide both sides by 4 to get X = 67.5°.
The complement of 67.5° is 22.5°.
Yeah, that's in your list.
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Scott A Wilson
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Whatever questions you ask except how to trisect an angle.
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