A pair of parallel lines is cut by a transversal.If m∠A = (6x − 3)° and m∠B = (9x − 24)°, what is the value of x?Group of answer choices713.81.47.8
Question
A pair of parallel lines is cut by a transversal.
If and , what is the value of ?
Group of answer choices
7
13.8
1.4
7.8
Solution
The problem involves a pair of parallel lines cut by a transversal. In this case, angles A and B are corresponding angles. According to the properties of parallel lines, corresponding angles are equal. Therefore, we can set the measures of angle A and angle B equal to each other and solve for x.
So, we have:
6x - 3 = 9x - 24
To solve for x, first, we can simplify the equation by subtracting 6x from both sides:
-3 = 3x - 24
Then, add 24 to both sides:
21 = 3x
Finally, divide both sides by 3 to solve for x:
x = 7
So, the value of x is 7.
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