Question

The deegree measures of two opposite angles of a parallelagram are represcented by 2n+30 and n+45. Find n

Answer 1

Opposite angles in parallelogram are equal so the answer will be;

2n+30=n+45

2n-n=45-30

n=15

Answer 2

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:

`2n + 30 = n + 45`

Clearing "n":

Subtract "n" from both sides of the equation:

`2n-n + 30 = n-n + 45\\n + 30 = 45`

We subtract 30 from both sides of the equation:

`n + 30-30 = 45-30\\n = 15`

Thus, the value of n is 15.

Answer:

`n = 15`