Question : In a cyclic quadrilateral ${EFGH}, \angle {E}$ is opposite to $\angle{G}$. If $\angle{E}=95°$, then what is the value of $\angle {G}$?
Option 1: 80°
Option 2: 75°
Option 3: 85°
Option 4: 105°
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Correct Answer: 85°
Solution :
Given,
$\angle E = 95°$
EFGH is a cyclic quadrilateral
In a cyclic quadrilateral, the opposite angles are supplementary.
⇒ $\angle E + \angle G = 180°$
⇒ $95° + \angle G = 180°$
⇒ $\angle G = 180° - 95° = 85°$
Hence, the correct answer is 85°.
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