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balandron [24]
2 years ago
8

Which algebraic expression is equivalent to the expression below?

Mathematics
1 answer:
fredd [130]2 years ago
3 0

Answer:

D

it is equivalent to the expression

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