Question

Can someone please help me with this question? Thanks if you do!

Answer 1

I guess it would be true because 100+95+85+80 = 360, and there are 360 degrees in a circle.

Answer 2

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.

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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 False

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Note:

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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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)