Question

EFGH is a parallelogram. Find the measure of JG.

Answer 1

`\large{ { \tt{꧁ \: A\: N \: S \: W \: E \: R \: ꧂}}}:`

Explanation:

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`\underline{ \underline{ \large{ \red{\tt{ \: P \: R \: O \: V \: I\: D \: E \: D\: }} }}: }`

• EFGH is a parallelogram.
• EF = 3w & JG = w + 8

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`\underline{ \underline{ \purple{ \large\tt{T\: O \: \: F \: I\: N \: D}}}} :`

• measure of JG

Since we know , The diagonals of a parallelogram bisect each other ;

`\large{\text{EF \: = JG}}`

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`\large{ \bf{3w = w + 8}}`

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`\large{ \bf{3w - w = 8}}`

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`\large{ \bf{2w = 8}}`

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`\large{ \bf{w = (8)/(2)}}`

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`\boxed{\large{ \bf{w = 4}}}`

♔
`\underline{ \text{Replacing \: Value}} :`

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`\large{ \bf{JG = w + 8 = 4 + 8 = \boxed{ \bf{12}}}}`

Yayy! We found our answer ☾

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`\boxed{ \boxed{ \orange{\tt{Our \: Final \: Answer : \underline{ \boxed{ \tt{12}}}}}}}`

Hope I helped! ♡

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