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This circle is circumscribed about quadrilateral ABCD. What is the value of x?

This circle is circumscribed about quadrilateral ABCD. What is the value of x?-example-1
User Panza
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1 Answer

6 votes

Answer:

The value of x is 56°

Explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :


97 + x + 27 = 180


x + 124 = 180

Next you have to solve it by substracting 124 to both sides :


x + 124 - 124 = 180 - 124


x = 56

This circle is circumscribed about quadrilateral ABCD. What is the value of x?-example-1
User Bbalchev
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4.6k points