Which statement explains the relationships used to find the value of x? O Because opposite angles of an inscribed quadrilateral intercept arcs that form a full circle, they are therefore supplementary and x-112 Because opposite angles of an inscribed quadrilateral intercept the same arc and are therefore congruent, x-68 O Because adjacent angles of an inscribed quadrilateral intercept the same arc, they are therefore congruent and x-90

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 29E: Suppose that the two angles are supplementary. Find expressions for the supplements, using the...
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Which statement explains the relationships used to find the value of x?
O Because opposite angles of an inscribed quadrilateral intercept arcs that form a full circle, they are
therefore supplementary and x=112
Because opposite angles of an inscribed quadrilateral intercept the same arc and are therefore
congruent, x=68
Because adjacent angles of an inscribed quadrilateral intercept the same arc, they are therefore
congruent and x=90
O Because angles of an inscribed quadrilateral are inscribed angles, they are therefore doubled to
find the measure of the intercepted arc, so x-136
Transcribed Image Text:68 Which statement explains the relationships used to find the value of x? O Because opposite angles of an inscribed quadrilateral intercept arcs that form a full circle, they are therefore supplementary and x=112 Because opposite angles of an inscribed quadrilateral intercept the same arc and are therefore congruent, x=68 Because adjacent angles of an inscribed quadrilateral intercept the same arc, they are therefore congruent and x=90 O Because angles of an inscribed quadrilateral are inscribed angles, they are therefore doubled to find the measure of the intercepted arc, so x-136
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