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Dimas [21]
3 years ago
14

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

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0

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


zheka24 [161]3 years ago
5 0

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.

--------

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 <u>False</u>


------------------------------------------------------------------------------------

<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,


----------------------------------------------------

<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)

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