The Blank 1 Question 51 angle of a cyclic quadrilateral is equal to the Blank 2 Question 51 opposite angle.
Question
The Blank 1 Question 51
The angle of a cyclic quadrilateral is equal to the
Blank 2 Question 51
opposite angle.
Solution
The answer to the question is:
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In a cyclic quadrilateral, the sum of a pair of opposite angles is 180 degrees. This is a property of cyclic quadrilaterals and is true regardless of the specific shape of the quadrilateral, as long as it is cyclic (meaning that all four of its vertices lie on a single circle).
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Therefore, if we know the measure of one angle in a cyclic quadrilateral, we can find the measure of its opposite angle by subtracting the known angle from 180 degrees.
For example, if one angle of a cyclic quadrilateral is 70 degrees, then its opposite angle is 180 - 70 = 110 degrees.
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