The answer is C. What I did what plug in numbers for M, N, P, R, S, and T. I got C doesn't work!
Your answer is
Rad. 6 + Rad. 2
- (Negative) _______________
4
Step-by-step explanation:
When you move point A horizontally to the right or left, the measures of angles ADC and ADE change, but the sum of their measures is always 180° since angles ADC and ADE are a linear pair and are supplementary, so the sum of their measures is 180°.
The same is true of point B moving horizontally and the measures of angles BEF and BED.
We want to find
such that the object needs is in equilibrium:

We're told that
,
, and
. We also know the angle between
and
is 95º, which means

is perpendicular to both
and
, so
.
If we take the dot product of
with the sum of all four vectors, we get




We can do the same thing with
and
:




Finally, if we do this with
, we get




