To check if a circle can be circumscribed about a certain quadrilateral, the opposite angles in the quadrilateral have to add up to 180 degrees.
--------
In your question, the opposite angles in the quadrilateral add up to:
85° + 80° = 165°
and 95° + 100° = 195°
----------------------------------------------------------------
Answer:
As you can see, neither 165° or 195° is 180°.
Therefore the answer is False
------------------------------------------------------------------------------------
Note:
If it's still not to clear for you, then say so and I will provide a diagram to make it clearer,
----------------------------------------------------
Additional Info:
Another word for a quadrilateral that can have a circle circumscribed about it is 'Cyclic'.
For example, some shapes are 'Cyclic quadrilaterals'
(which means it is a quadrilateral that can fit perfectly into a circle, with all edges touch the circumference)
