Question

Quadrilateral MNPQ is inscribed in s circle. Find the measure og angle Q.

Answer 1

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 =