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80ptssss!!!Which solution for the value of x in the figure below is incorrect? Explain.

80ptssss!!!Which solution for the value of x in the figure below is incorrect? Explain-example-1

2 Answers

12 votes

Option A (Verification)

  • Statement: 4x - 2 = 3x + 6

Check:

  • => 4x - 3x = 2 + 6
  • => x = 8

The statement given is true because when we compare the LHS and the RHS, which are equal, it will give us the value of x.

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Option B (Verification)

  • Statement: 4x - 2 + 3x + 6 = 180

The statement given is false because 4x - 2 and 3x + 6 equal each other and, if added, it won't give 180. Hence, Option B is our answer.

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We can now conclude that Option B is the answer.

Hoped this helped.


BrainiacUser1357

User Renevdkooi
by
8.6k points
7 votes

Answer: B is incorrect

we can find the angle beside the angle ( 4x -2 ) which will be 180° - (4x -2) = ( 182 -4x )° ...................................as lies on a straight line summing up 180°

now we can find x°

by

3x + 6 + ( 182 -4x )° = 180° .............both sides sum up to 180°

3x - 4x - 188 = 180°

-x° = 180 - 188°

-x = -8

x = 8°

We can thus confirm the x value will be 8° and B is wrong and A correct.

User Mohit Trivedi
by
8.7k points

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