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In the diagram below P is the circumscribed about quadrilateral ABCD. What is the value of x?

In the diagram below P is the circumscribed about quadrilateral ABCD. What is the-example-1
User Drake Guan
by
6.5k points

2 Answers

4 votes

Answer:

82

Explanation:

a pex

User Udo Held
by
6.6k points
2 votes

Answer:

Option D.
x=82\°

Explanation:

Remember that

In a inscribed quadrilateral opposite angles are supplementary

so

In this problem


m<C+m<A=180\°

we have


m<C=x\°


m<A=98\°

substitute the values and solve for x


x\°+98\°=180\°


x=180\°-98\°=82\°

User Eric Hartmann
by
7.3k points