What is the measure of an angle if it is nine degrees more than double its complement?

What is the measure of an angle if it is nine degrees more than double its complement?


A. 27°


B. 57°


C. 63°


D. 123°

What is the measure of an angle if it is nine degrees more than double its complement?
Let the angle be x.





The complement of an angle x is 90°- x.


Thus According to the gives question the equation will be as follows :





(90°- x)*2+9°= x





Gives, 189° - 2x = x





implies,189° = 3x





x = 63°





Therefore the required angle is 63°.





Hope you can understand this explaination.
Reply:ans. C. 63 degrees





solution:





let x be the measure of the angle


90-x its complement


x = 2(90 -x) +9


x = 180 -2x +9


x +2x = 189


3x = 189


x = 189/3


x = 63 degrees
Reply:A. 135 degrees


B. 75 degrees


C. 63 degrrees


D. well it over ninety all ready but I'll try


i guessed 303 but trully there is no answer
Reply:The angle is 63"





Let A be the angle and B be its complement





Given A + B = 90"


and 2B + 9 = A


By solving the above equations we get A = 63" amd B = 27"
Reply:I'd rather not do your homework for you, but I'll give you a hint. Try expressing this as a mathematical equation.





Call x your mystery angle. Since x's complementary angle should be equal to (90 - x), then we can write:





x = 9 + 2 * (90 - x)





Then you should be able to solve this for x. Happy mathing.
Reply:Answer: C





Let x° be the angle, so double its complement is 2(90-x)





x = 2(90-x)+9


x = 180 - 2x +9


3x = 189


x= 63
Reply:complementary angles total 90 degrees





x = unknown angle


2x + 9 = other unknown angle





x + (2x + 9) = 90


3x + 9 = 90


3x = 81


x = 27





angles are 27 and 63





The angle in question is the larger one (since it is more than double its complement), so the correct answer is 63 degrees
Reply:A. complentary angles combine to equal 90 degrees.





2x+9 is one angle


x is the other





2x+9+x=90


3x+9=90


3x=81


x=27





Edit ***





It seems like everyone else is confusing complentary angle (sum of 90) with supplementary angles (sum of 180).
Reply:The complement of an angle θ is 90°-θ. Thus:


(90°-θ)*2+9°=θ


189°-2θ=θ


189°=3θ


θ=63°
Reply:What are complementary angles?





Can you write two equations relating the two angles?
Reply:The complementary angle of x degrees is (90-x) degrees.





Therefore, the given condition yields,


x = 9 + 2(90-x)


or x = 9 + 180 -2x


or 3x= 189


or x= 189/3


or x = 63


The complementary angle is 90 - 63 = 27





But 9 + 2( 90-27) = 9+2(63) != 27. Therefore x=27 do not satisfy the given condition but x=63 degree do.


Thus the required answer is x=63 degrees.





Ans.) C. 63 degrees.
Reply:Ans:-C





let the angle be x


its complement is 90-x


x = 9+2*(90-x)


3x=189


x=63
Reply:x - 9 = 2(90 - x)


x = 63 degrees
Reply:C.