SOLUTION: two times the complement of an angle is 27 more than the angle. find the angle.

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Question 519131: two times the complement of an angle is 27 more than the angle. find the angle.
Answer by mamiya(56) About Me  (Show Source):
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two times the complement of an angle is 27 more than the angle. find the angle.
let's x be the angle. its complement of x is 90-x, since two angles are complementary if their sum equal 90
two times the complement of x is 2( 90-x)
2(90-x) is 27 more than x, means that 2(90-x)=x+27

so, 180-2x=x+27
180-27=2x+x
3x=153
x=51
so, the answer is 51 degree