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

Question

asked Jul 26, 2020 159k views

2 Answers

Eric Hartmann · Answer 1 · 2020-07-31T19:24:46+0000

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

$x\°+98\°=180\°$

$x=180\°-98\°=82\°$