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

Question

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°

Answer 1

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.

Answer 2

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.

Answer 3

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"

Answer 4

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

Answer 5

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

Answer 6

The complement of an angle θ is 90°-θ. Thus:
(90°-θ)*2+9°=θ
189°-2θ=θ
189°=3θ
θ=63°

Answer 7

x - 9 = 2(90 - x)
x = 63 degrees

Answer 8

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

Answer 9

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.

Answer 10

Ans:-C

let the angle be x
its complement is 90-x
x = 9+2*(90-x)
3x=189
x=63