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Help with the answer please.

Help with the answer please.-example-1

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Answer:

82°

Step-by-step 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°

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