Iwill award in the figure, what is n in terms of m and p? a. m+p+180° b. 180°−p+m c. 360°+m−p d. 360°−m+p

The 3 outside angles of a triangle need to equal 360 degrees.

So you have n + m + p = 360

So to find n, you would add m and p together and subtract that from 360.

Without parenthesis I do not see a correct choice.

The answer should be 360 - (m+p)

The closest answer to this is D.

B. 180°−p+m  

Step-by-step explanation:

The angle on the other side of n, call it N, is 180 - n

N = 180 -n

The angle on the other side of p, call it P, is 180 - p

P = 180 -p

The angle inside the triangle opposite m is the same as m because it is a vertical angle and vertical angles are equal.

We are looking to find the angles inside the triangle, because we know they add to 180 degrees  

N+P+m = 180

(180-n) + (180-p) +m = 180

Combine like terms

360 -n-p+m = 180

Add n to each side

360 -n+n-p+m = 180+n

360 -p+m = 180+n

Subtract 180 from each side

360-180 -p+m =180-180+n

180+m-p =n

2x^2+5x+17

your welcome. : )