In the diagram below, point O is circumscribed about quadrilateral ABCD. what is the value of x?

Question

asked Jan 28, 2020 235k views

2 Answers

Skela · Answer 1 · 2020-02-03T02:53:34+0000

Answer:

The value of x is 57

Explanation:

see the attached figure to better understand the problem

we know that

In an inscribed quadrilateral, the opposite angles are supplementary

so

m∠B+m∠D=180°

substitute the given values and solve for x

$93+(x+30)=180\\x+123=180\\x=180-123\\x=57$

therefore

The value of x is 57