Two adjacent angles are on a straight line. One angle has a measure of (5x - 28) * and the other angle has a measure of (8x) *. What is the measure of the second angle?
The sum of two adjacent angles on a straight line is always 180 degrees.
Let's set up an equation to solve for x:
(5x - 28) + (8x) = 180
Combining like terms:
13x - 28 = 180
Add 28 to both sides of the equation:
13x = 208
Divide both sides by 13:
x = 16
Now that we have found the value of x, we can substitute it into the equation for the second angle:
(8x) = 8 * 16 = <<8*16=128>>128
Therefore, the measure of the second angle is 128 degrees.
For two adjacent angles with measures z an and (x + 30) ° that make up a 90° angle, what is x?
To solve for x, we can use the fact that the sum of the measures of two adjacent angles that make up a 90° angle is 90°.
So, we can set up the equation:
z + (x + 30) = 90
Next, we can combine like terms:
z + x + 30 = 90
Now, we can isolate x by subtracting 30 from both sides:
z + x = 60
Finally, we have:
x = 60 - z
Therefore, x = 60 - z.
For two adjacent angles with measures x an and (x + 30) ° that make up a 90° angle, what is x?
To find the value of x, we can use the fact that the sum of two adjacent angles that make up a 90° angle is equal to 90°.
So, we can set up the equation:
x + (x + 30) = 90
Now, we simplify the equation by combining like terms:
2x + 30 = 90
Next, we isolate the variable by subtracting 30 from both sides of the equation:
2x = 90 - 30
2x = 60
Finally, we solve for x by dividing both sides of the equation by 2:
x = 60 / 2
x = 30
Therefore, the value of x is equal to 30.
A right angle is formed by two adjacent angles with measures of (x) and (x + 30) What are the two angle measures? (1 point)
A right angle has a measure of 90 degrees. Since the two angles are adjacent and form a right angle, their measures must add up to 90 degrees.
Setting up an equation, we have:
x + (x + 30) = 90
Simplifying this equation, we get:
2x + 30 = 90
Next, we subtract 30 from both sides:
2x = 90 - 30
2x = 60
Finally, we divide both sides by 2 to solve for x:
x = 60 / 2
x = 30
So, one angle measure is 30 degrees, and the other angle measure can be found by substituting x back into the equation:
x + 30 = 30 + 30 = 60
Therefore, the two angle measures are 30 degrees and 60 degrees.
A 180* angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x + 3) and the other has a measure of (x - 6) what are the measures of the two angles that make up the straight line?
The sum of two adjacent angles on a straight line is always 180 degrees.
Let's set up an equation to solve for x:
(2x + 3) + (x - 6) = 180
Combining like terms:
3x - 3 = 180
Add 3 to both sides of the equation:
3x = 183
Divide both sides by 3:
x = 61
Now that we have found the value of x, we can substitute it into the equations for the two angles:
(2x + 3) = 2 * 61 + 3 = 125
(x - 6) = 61 - 6 = 55
Therefore, the measure of the first angle is 125 degrees and the measure of the second angle is 55 degrees.