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Find the value of x: then find the measure of each angle

Find the value of x: then find the measure of each angle-example-1
User Arturmoroz
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1 Answer

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Answer:

Explanation:

In a parallelogram, opposite angles are equal.

∠G = ∠E

5x - 9 = 3x + 11

Add 9 to both sides

5x = 3x + 11 + 9

5x = 3x + 20

Subtract 3x from both sides

5x- 3x = 20

2x = 20

Divide both sides by 2

x = 10

∠G = 5x - 9

= 5*10 - 9

= 50 - 9

∠G = 41°

∠G = ∠E = 41°

In parallelogram, adjacent angles are supplementary.

∠G + ∠D = 180

41 + ∠D = 180

∠D = 180 - 41

∠D = 139

∠D = ∠F = 139°

User Hirowatari
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