Complement of an angle is 12° more than twice the angle. Find the angle.
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Correct answer: D
Explanation
Given:
Angle = x
Complement = 90 − x
Angle = 12° more than twice its complement
x = 2(90 − x) + 12
x = 180 − 2x + 12
x = 192 − 2x
3x = 192
x = 64
However, this is not among the options ⇒ The smaller angle (the complement) is being asked for.
90 − 64 = 26°