There is a pair of vertical angles whose measures are m∠1=106° and m∠2=(3x−75)° . What equation can you write to solve for x ?

A. 3x°−75°=106°

B. 3x°−75°−106°=180°

C. 3x°−75°+106°=180°

D. 3x°−75°+106°=90°

3 answers

A pair of vertical angles have equal measures. Therefore, since m∠1 = 106°, we have:

m∠2 = 106°

Since m∠2 = (3x - 75)°, we can set up the equation:

3x - 75 = 106

Therefore, the equation to solve for x is:

3x - 75 = 106

So, the correct answer is A. 3x°−75°=106°.
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