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