Question

5. 015) Find the value of x in the given figure: -​

Answer 1

$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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Given

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• EG = FG

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• ∠FGH = 105°

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To Find

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• Value of x

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We know

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Angles opposite to the equal sides are also equal. So, ∠GEF = ∠EFG

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Solution

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➨∠EGF + ∠FGH = 180° [ Linear Pair ]

➨ x + 105° = 180°

➨ x = 180 - 105

➨ x = 75°

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∠EGF = 75°

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∠GEF = ∠EFG = x

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➨∠GEF + ∠EFG + ∠EGF = 180° [ Angle Sum Property of triangle ]

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➨ x + x + 75° = 180°

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➨ 2x + 75 = 180

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➨ 2x = 180 - 75

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➨ 2x = 105

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➨ x = 52.5

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Therefore, value of x = 52.5°