# Math Help - Arithmetic Squence Quadralateral Question HELP

1. ## Arithmetic Squence Quadralateral Question HELP

Hi, I can't seem to solve this problem. I can't find the last known variable (d). Here it is:

The interior angles of a quadrilateral are in an arithmetic squence. If the largest angile is 96 degrees, find the other angles.

So the formula is tn=a+d(n-1)
We know:
a=6
n=4? or 1?
d=?
tn=360

I don't know what d should be. Or am I suppose to solve for n? The answers at the back of the book are 84, 88, 92 meaning d is -4.

Please tell me how to approach this question. Thanks.

2. If the largest angle is 96°, the other angles are $(96-d)^\circ,$ $(96-2d)^\circ,$ and $(96-3d)^\circ.$ Using the fact that the sum of these angles is 360°, you should be able to find $d$ and hence the other angles.

3. thanks!!