Answer:
82°
Explanation:
When it comes to inscribed quadrilaterals in a circle, just remember the conjecture:
Opposite angles of a any type of quadrilateral inscribed in a circle have a sum of 180°. This means that they are supplementary.
The given in your figure is 98° and the opposite angle (the angle ACROSS it) is x. According to the conjecture then, these angles should be equal to 180°.
Let's make that into an equation then:
98° + x = 180°
We solve for x then by first subtracting 98° from both sides to isolate x:
98° - 98° + x = 180° - 98°
x = 82°
The answer is 82°
