Can someone me with this question? if you do!

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°

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)

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: