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Two complementary angles have measures (4x) degrees and (2x) degrees. What is the value of x and the two angle measures?
To find the value of x and the two angle measures, we need to use the fact that complementary angles add up to 90 degrees.
Let's set up an equation:
4x + 2x = 90
Combine the like terms:
6x = 90
Now, divide both sides of the equation by 6 to solve for x:
x = 90 / 6
Simplify:
x = 15
So, x is equal to 15.
To find the angle measures, substitute x back into the given expressions:
First angle = 4x = 4 * 15 = 60 degrees
Second angle = 2x = 2 * 15 = 30 degrees
Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.
In a figure, one complementary angle has a measure of 36 degrees and the other has a measure of (x-3) degrees. What is the value of x and the value of the unknown angle measure?
To find the value of x and the measurement of the unknown angle, we can use the fact that complementary angles add up to 90 degrees.
We know that one angle has a measurement of 36 degrees, and the other angle has a measurement of (x-3) degrees.
Using the fact that complementary angles add up to 90 degrees, we can set up an equation:
36 + (x-3) = 90
Simplifying the equation:
x - 3 + 36 = 90
x + 33 = 90
Now, isolate x by subtracting 33 from both sides of the equation:
x = 90 - 33
x = 57
Therefore, the value of x is 57.
To find the measurement of the unknown angle, substitute the value of x back into the given expression:
x - 3 = 57 - 3 = 54
So, the unknown angle has a measurement of 54 degrees.
Two angles are complementary. One angle has a measure of 40 degrees and the other has a measure of (8x+2) degrees. What is the value of x?
60
50
11
6
If two angles are complementary, their measures sum up to 90 degrees.
Given that one angle has a measure of 40 degrees, and the other angle has a measure of (8x+2) degrees, we can set up the equation:
40 + (8x+2) = 90
Simplifying the equation:
40 + 8x + 2 = 90
Combine like terms:
8x + 42 = 90
Now, subtract 42 from both sides of the equation:
8x = 90 - 42
8x = 48
To isolate x, divide both sides of the equation by 8:
x = 48 / 8
x = 6
Therefore, the value of x is 6.
What are the two angle measures of complementary angles expressed as 3x degrees and (2x-5) degrees?
19 degrees and 71 degrees
33 degrees and 57 degrees
30 degrees and 60 degrees
21 degrees and 69 degrees
Given that the two angles are complementary and expressed as 3x degrees and (2x-5) degrees:
We know that complementary angles add up to 90 degrees, so we can set up the equation:
3x + (2x-5) = 90
Combine like terms:
5x - 5 = 90
Add 5 to both sides of the equation:
5x - 5 + 5 = 90 + 5
5x = 95
Divide both sides by 5 to solve for x:
x = 95 / 5
x = 19
Now that we have the value of x, we can substitute it back into the given expressions to find the angle measures:
First angle = 3x = 3 * 19 = 57 degrees
Second angle = 2x-5 = 2 * 19 - 5 = 33 degrees
Therefore, the two angle measures of the complementary angles are 57 degrees and 33 degrees.