If one angle in a pair of vertical angles measures 42 degrees and the other measures 2n-4 degrees, which is the value of n?
I got 23 degrees but I am not sure if it is correct. Please help me...
2n-4 = 42
2n = 46
n = 23
you are correct
So, you would set up your equation as 2n - 4 = 42.
2n - 4 = 42
+4 +4 Add 4 to each side
2n = 46
2n/2 = 46/2 Divide by the coefficient on each side
n = 23 Solve
You're correct
To find the value of n, we can use the fact that vertical angles are congruent, meaning they have equal measures.
One angle measures 42 degrees, so we can set this angle equal to the other angle:
42 degrees = 2n - 4 degrees.
To solve for n, let's isolate the variable n. Add 4 degrees to both sides of the equation:
42 degrees + 4 degrees = 2n.
46 degrees = 2n.
Next, divide both sides of the equation by 2:
46 degrees / 2 = 2n / 2.
23 degrees = n.
So, the value of n is 23 degrees. Your answer is correct!
To find the value of n, we can use the fact that vertical angles are congruent, meaning they have the same measure.
So, we can set up an equation:
angle 1 = 42 degrees
angle 2 = 2n - 4 degrees
Since the angles are congruent, we can set up the equation:
42 = 2n - 4
To solve for n, we need to isolate it on one side of the equation. Let's start by adding 4 to both sides:
42 + 4 = 2n - 4 + 4
46 = 2n
Next, we can divide both sides of the equation by 2:
46/2 = 2n/2
23 = n
So, the value of n is indeed 23. Your answer of 23 degrees is correct.