#12 If the m∠3 = 75 and the m∠7 = 2x+7, what is x? (Hint: What is the relationship between the two angles?)

Question

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1 point
Captionless Image
30
68
34
62

Answer 1

To find the value of x, we need to determine the relationship between angles 3 and 7.

Angles 3 and 7 are vertical angles, which means they are opposite each other when two lines intersect. Vertical angles are congruent, which means they have the same measure.

Given that m∠3 = 75, we know that m∠7 must also be 75.

Therefore, we can set up the equation:
m∠7 = 2x + 7 = 75

Solving for x:
2x + 7 = 75
2x = 68
x = 34

Therefore, x is 34.

The correct answer is:
34