Question

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Each of the problems below was solved incorrectly, for each problem, find the mistake in the work/ answer. Explain what the mistake is, and find the correct answer.


Explain the mistake:








Find the correct answer(equation):




2. Find the value of x

Explain the mistake:









Find the correct answer(equation):


3. Find the value of x

Explain the mistake:









Find the correct answer(equation):

Answer 1

Question 1

• The mistake is that vertical angles are congruent, and don't always add up to 180 degrees.
• 
  `5x=100 \longrightarrow x=20`

Question 2

• Angles that add to form a right angle add to 90 degrees, not 180 degrees.
• 
  `3x+39=90 \longrightarrow 3x=51 \longrightarrow x=17`

Question 3

• Angles that add to form a right angle add to 90 degrees, not 180 degrees.

• 
  `3x+39=90 \longrightarrow 3x=51 \longrightarrow x=17`