Question

Picture attached below
x =

82
98
262

Answer 1

Answer: x=82°

Explanation:

1. The figure attached shows an inscribed quadrilateral, this means that the vertices lie on the circle.

2. By definition, the sum of the opposite angles of an inscribed quadrilateral is 180°.

3. Then keeping this on mind, you can calculate the measure of x as following:

`x+98\°=180\°`

Solve for x:

`x=180\°-98\°\\x=82\°`

4. Therefore, the answer is the first option.