Question

In the diagram below P is circumscribed about quadrilateral ABCD? What is the value of X? PLS HELP

Answer 1

Answer:

$x=80\°$

Step-by-step explanation:

we know that

If the quadrilateral is inscribed in a circle then the sum of its opposite angles is  equal to $180\°$

In this problem

m∠B and m∠D are opposite angles

so

m∠B + m∠D=$180\°$

we have

m∠B=$100\°$

solve for m∠D

m∠B=$180\°-100\°=80\°$

$x=80\°$

Answer 2

Check the picture below.