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The measures of the angles of an inscribed quadrilateral are given in the figure shown. Using angle A as the reference point, which of the following equations represents the the property that opposite angles in an inscribed quadrilateral are supplementary? A. 2x+y=173 B. x+y=97 C. 2x+2y=166 D. 4x+y = 180

Sagot :

Answer:

either B. x+y=97 or D. 4x+y = 180

Step-by-step explanation:

The equation x+y=97 represents the property that opposite angles in an inscribed quadrilateral are supplementary.

What is the inscribed quadrilateral theorem?

The Inscribed Quadrilateral Theorem states that a quadrilateral can be inscribed in a circle if and only if the opposite angles of the quadrilateral are supplementary.

What is an inscribed angle?

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

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