Question

EFGH is a parallelogram. Find the measure of JG.

Answer 1

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

Step-by-step explanation:

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

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

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

• measure of JG

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

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

➝ $\large{ \bf{3w = w + 8}}$

➝ $\large{ \bf{3w - w = 8}}$

➝ $\large{ \bf{2w = 8}}$

➝ $\large{ \bf{w = \frac{8}{2}}}$

➝ $\boxed{\large{ \bf{w = 4}}}$

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

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

Yayy! We found our answer ☾

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

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