unknownperson9252101
Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the value of x? How can you check your answer?

What Is The Value Of X How Can You Check Your Answer class=

Sagot :

theleangreenbean

Answer:

x = 75

Step-by-step explanation:

Hi there!

Let's start by looking at the two parallel lines, l and m, and the diagonal line that crosses both of them. Line l and this diagonal line create the angle that measures (2x-30)°.

For a second, let's pretend that the 45°, x° and the straight line aren't there. The diagonal line and line m would create the alternate exterior angle of the angle that measures (2x-30)°. (Please see the attached image.)

Alternate exterior angles are equal in measure.

Now, with this knowledge, we now know that (2x-30)° is equal to 45+x:

2x-30 = 45+x

x-30 = 45

x = 75

Therefore, the value of x is 75.

To check your answer, you can substitute x into (2x-30)° and find the angle. It equals 120°. 45+75 is equal to 120°, so therefore, this answer is correct.  

I hope this helps!

View image theleangreenbean
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.