235k views
2 votes
In the diagram below, point O is circumscribed about quadrilateral ABCD. what is the value of x?

User AJC
by
6.8k points

2 Answers

3 votes

Answer:57

Explanation:

User IXCray
by
6.5k points
4 votes

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

In the diagram below, point O is circumscribed about quadrilateral ABCD. what is the-example-1
User Skela
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.