<PRE><B>Question 991145</B>
x is your angle.


90 - x is the complement of your angle.


the formula for the complement of the angle being 24 more than twice the angle is shown below:


90 - x = 2 * x + 24


add x to both sides of the equation and subtract 24 from both sides of the equation and you get:


90 - 24 = 3 * x


simplify to get:


66 = 3 * x


solve for x to get x = 22.


your angle is 22.
the complement is 90 - 22 = 68.


the complement is 24 more than twice the angle becomes:
68 = 2 * 22 + 24 which becomes:
68 = 44 + 24 which becomes:
68 = 68 which is true.


your solution is that the complement of the angle is 68.





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