Answer :
Answer:
False
Step-by-step explanation:
This is false because the circle would not pass through all the verticies of the polygon.
The statement: a circle can be circumscribed about the given quadrilateral is false.
What is the method to know if a circle can be circumscribed in a quadrilateral?
When the sum of two pairs of the opposite angles in a quadrilateral are 180° each, then a circle can be circumscribed in it.
Here, the sum of two pare of opposite angles are:
∠A + ∠C
= (90° + 115°)
= 205°
∠B + ∠D
= (90° + 65°)
= 155°
It is clear that, the sum of two pairs of the opposite angles of the given quadrilateral are not 180°.
Therefore, a circle can't be circumscribed about the quadrilateral given.
Learn more about a circle circumscribed in a quadrilateral here:https://brainly.com/question/2491603
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