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.
n obtuse angle is formed by two adjacent angles with measures (x - 5) * and (3x) *. If the resulting angle measure is 107*, what is the angle measure of each of the two unknown angles? Round to the nearest whole umber. (1 point)
To find the measure of each of the two unknown angles, we set up an equation:
(x - 5) + (3x) = 107
Now, we simplify the equation by combining like terms:
4x - 5 = 107
Next, we isolate the variable by adding 5 to both sides:
4x = 107 + 5
4x = 112
Finally, we solve for x by dividing both sides by 4:
x = 112 / 4
x = 28
Now that we have found the value of x, we can substitute it into the equations for the two angles:
(x - 5) = 28 - 5 = 23
(3x) = 3 * 28 = 84
Therefore, the measure of the first angle is 23 degrees, and the measure of the second angle is 84 degrees.