Identifying Relationships between Lines
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Trapezoid PQRS be inscribed in a circle because its opposite angles are supplementary.
According to the statement
we have given that the Trapezoid PQRS be inscribed in a circle and we have to find the correct answer from the given data.
So, For this purpose, we know that the
The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.
From the diagram given,
the opposite angles in the trapezoid are 115 and 65 degree.
So, after adding it become
115 + 65 = 180 degrees.
Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
So, Trapezoid PQRS be inscribed in a circle because its opposite angles are supplementary.
Learn more about inscribed quadrilateral conjecture here
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Question:
Select the correct answer from each drop-down menu.
Trapezoid PQRS
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be inscribed in a circle because the
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115⁰
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65°
For more understanding please see the image below.
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