A quadrilateral is inscribed in a circle. Two consecutive angles measure 88° and 108°. The angle opposite the 108° angle is labeled x° . Find the value of x.(1 point) x= °

Answer 1

In a cyclic quadrilateral (one inscribed in a circle), the opposite angles are supplementary. This means that the sum of the two opposite angles equals 180°.

Given:

• One angle is 108°
• The angle opposite to it (let's call it x) must satisfy the relation:

\[ 108° + x = 180° \]

Now, we can solve for x:

\[ x = 180° - 108° = 72° \]

Thus, the value of \( x \) is:

\[ \boxed{72} \]