In the diagram below P is the circumscribed about quadrilateral ABCD. What is the value of x?
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Answer:
Option D. [tex]x=82\°[/tex]
Step-by-step explanation:
Remember that
In a inscribed quadrilateral opposite angles are supplementary
so
In this problem
[tex]m<C+m<A=180\°[/tex]
we have
[tex]m<C=x\°[/tex]
[tex]m<A=98\°[/tex]
substitute the values and solve for x
[tex]x\°+98\°=180\°[/tex]
[tex]x=180\°-98\°=82\°[/tex]