studyingg
studyingg studyingg
  • 08-03-2017
  • Mathematics
contestada

What is m∠BEC ?


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What is mBEC Enter your answer in the box class=

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sdmatera
sdmatera sdmatera
  • 08-03-2017
We are able to set 4x+32 equal to 6x-8 because these are congruent vertical angles

4x+32=6x-8
4x+40=6x (add 8 to both sides)
40=2x (subtract 4x from both sides)
X=20 (divide both sides by 2)

Then we plug in 20 for x into 6x-8 to find the answer

6(20)-8
=120-8
=112

Hope this helps!
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IsabellaRosette
IsabellaRosette IsabellaRosette
  • 08-03-2017
angle BEC = angle AED

Vertically opposite angles are equal

6x - 8 = 4x + 32
6x - 4x = 32 + 8
2x = 40
x = 20

angle BEC = 6 x 20 - 8 = 112°
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