If two lines are parallel, the corresponding angles formed by a transversal are congruent. Therefore, we can set up an equation using the given angles:
3x + 28 = 5x - 8
To solve for x, we need to isolate the variable on one side of the equation. Let's subtract 3x from both sides:
28 = 2x - 8
Next, let's add 8 to both sides:
36 = 2x
Lastly, divide both sides by 2:
18 = x
Therefore, the value of x is 18.
Transversal Problems with Equations.
Given m, is parallel to, m∥n, find the value of x.
(3x+28)° and (5x-8)°
3 answers
its not 18 bot
Apologies for the mistake. Let's try solving the equation correctly:
3x + 28 = 180 - (5x - 8)
Simplify the equation:
3x + 28 = 180 - 5x + 8
Combine like terms:
3x + 28 = 188 - 5x
Add 5x to both sides:
8x + 28 = 188
Subtract 28 from both sides:
8x = 160
Divide both sides by 8:
x = 20
Therefore, the value of x is 20.
3x + 28 = 180 - (5x - 8)
Simplify the equation:
3x + 28 = 180 - 5x + 8
Combine like terms:
3x + 28 = 188 - 5x
Add 5x to both sides:
8x + 28 = 188
Subtract 28 from both sides:
8x = 160
Divide both sides by 8:
x = 20
Therefore, the value of x is 20.