Solution:
For this case we know that the sum of the angles in the quadrilateral is 360º
Then we also know that opposite angles measure up to 180 degrees. So we have this:
4x +5 +4x -10 +3x+7 + m< Q= 360
Solving for m < Q we got:
m< Q= 360-5+10-7 -11x
m < Q= 358 -11x
then we can use the second condition and we have:
m < Q= 358 -11x = 4x -10
And solving for x we got:
368 = 15x
x = 368/15= 368/15
:
368 =
