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

Question

the options are:
A. 27 degrees
B. 57 degrees
C. 63 degrees
D. 123 degrees

Answer 1

Let x = the missing angle.
So, 90 - x = the complement angle.
So, 2(90 - x) = double the complement
So the equation you need to work with will be:

x = 9 + 2(90 - x)

First step is to distribute the 2.

x = 9 + 180 - 2x

Then add 2x to both sides.

x = 9 + 180 - 2x
+2x + 2x
3x = 9 + 180

Combine like terms.

3x = 189

Divide both sides by 3.

3x = 189
/3 /3

x = 63.

Answer 2

The answer is 63 degrees. If x represents the angle, then,
2(90-x)+9 represents 9 more than double the complement.
Therefore, x=2(90-x)+9
x=180-2x+9
x=189-2x
3x=189
x=63
Keep in mind that two angles are complementary if the sum of the two angles is 90 degrees. x is the angle, 90-x is its complement.

Answer 3

let the angle be X degrees
Complement is 90 - X
Twice complement is 2(90-X)

So 2(90-X) + 9 = X
180 - 2X + 9 = X
189 = 3X

hence X = 189/3 = 63

Answer 4

The complementary perspective of x stages is (ninety-x) stages. for this reason, the given concern yields, x = 9 + 2(ninety-x) or x = 9 + one hundred eighty -2x or 3x= 189 or x= 189/3 or x = sixty 3 The complementary perspective is ninety - sixty 3 = 27 yet 9 + 2( ninety-27) = 9+2(sixty 3) != 27. for this reason x=27 do no longer fulfill the given concern yet x=sixty 3 degree do. to that end the required answer is x=sixty 3 stages. Ans.) C. sixty 3 stages.

Answer 5

49.5 degrees