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klio [65]
3 years ago
7

Describe and correct the error in using properties of parallelograms.

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0
Angle S and angle V are supplementary so angle B would actually be 130°
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6 0
3 years ago
Directions attatched
irina1246 [14]

Answer:

  • x=7
  • ∠GBD=112
  • ∠EFC=112

Step-by-step explanation:

Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.

--------------------------------------------------------------------------

Given

∠GBD=4x+84

∠EFC=16x

m∠GBD=m∠EFC

Solve

4x+84=16x ⇔ Given

4x+84-4x=16x-4x ⇔ Subtract 4x on both sides

84=12x ⇔ Simplify

84/12=12x/12 ⇔ Divide 12 on both sides

x=7 ⇔ Simplify

Substitute the x value into each angle expression

∠GBD=4x+84=4(7)+84=28+84=112

∠EFC=16x=16(7)=112

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
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