Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is the value of x that makes AB |I CD?

What Is The Value Of X That Makes AB I CD class=

Sagot :

PallasAthena23
30

In order for AB to be parallel to CD, the two labeled angles must be equivalent. If we set the two expressions equal to each other and solve for x, we can find the value of x that makes angle AEF and angle EFD equivalent and therefore the lines AB and CD parallel.

2x + 40 = 3x + 10
40 = x + 10
30 = x

If the value of x were 30, both angles would be 100°

Answer:

30°

30 is the value of x that’s makes AB//CD.

Step-by-step explanation:

the angles of measures 2x + 40 and 3x + 10 are two Alternate interior angles

If these two angle were congruent then the lines AB and CD

would be parallel .

2x + 40 = 3x + 10

⇔ 40 - 10 = 3x - 2x

⇔ 30 = x

⇔ x = 30

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.