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

User AJC
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2 Answers

3 votes

Answer:57

Explanation:

User IXCray
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7.3k 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
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