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True or False? A circle could be circumscribed about the quadrilateral below.

True or False? A circle could be circumscribed about the quadrilateral below.-example-1
User Ddpishere
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2 Answers

3 votes

Answer:

The answer would be false

Explanation:

User Dingoglotz
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2 votes

Answer:

The correct answer is: False

Explanation:

If the sum of the opposite angles in a quadrilateral is 180°, then a circle can be circumscribed about the quadrilateral.

Here,
\angle B+\angle D= 110\°+90\° = 180\°

but,
\angle A+\angle C= 70\°+90\°= 160\°

So, a circle can't be circumscribed about the given quadrilateral.

User MackieeE
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