StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

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

🧐 Not the exact question you are looking for?Go ask a question

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.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.