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3 years ago

Given that m angle G- 81", what is m angle I? A)81" B)89 C)91 D)99

Mathematics

2 answers:

andrey2020 [161]3 years ago

7 0

The answer to the question is D)99

seraphim [82]3 years ago

3 0

Answer:

$\text{D) }99^{\circ}$

Step-by-step explanation:

Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.

A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since $\angle G$ and $\angle I$ are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:

$\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}$

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OleMash [197]

Let's assume there is n number of nickels coin and q number of quaters coin.

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Now 1 nickel is worth of $0.01 nickel. So, n nickel will woth of 0.01n.

Similarly q quarters will worth of 0.25q.

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uranmaximum [27]

Answer:

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Step-by-step explanation:

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