Opposite angles in parallelogram are equal so the answer will be;
2n+30=n+45
2n-n=45-30
n=15
For this case, we have that by definition, in a parallelogram, the opposite angles are congruent, that is, they are equal. So, given the measurements of two opposite angles of a parallelogram, we have:
[tex]2n + 30 = n + 45[/tex]
Clearing "n":
Subtract "n" from both sides of the equation:
[tex]2n-n + 30 = n-n + 45\\n + 30 = 45[/tex]
We subtract 30 from both sides of the equation:
[tex]n + 30-30 = 45-30\\n = 15[/tex]
Thus, the value of n is 15.
Answer:
[tex]n = 15[/tex]
