makirunningcrane
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

***
Lines j and k are parallel. Suppose m<1 = (4x + 40° and m<8 = (2x + 80)°. What is m<5?
X=
mZ5 =
o
Blank 1:
Blank 2:

Lines J And K Are Parallel Suppose Mlt1 4x 40 And Mlt8 2x 80 What Is Mlt5 X MZ5 O Blank 1 Blank 2 class=

Sagot :

somesortapapaya

Answer:

x = 20; ∠5 = 120°

Step-by-step explanation:

∠1 and ∠8 are alternate angles and therefore are equal, which means that if m ∠1 = (4x + 40)° and m ∠8 = (2x + 80)°, then 4x + 40 = 2x + 80

Solve for x:

4x + 40 = 2x + 80

2x = 40

x = 20

∠5 is corresponding to ∠1 and vertical to ∠8, therefore equal to both; To find it's measure:

Plug x into either ∠1 or ∠8's respective equations:

2x + 80  

2(20) + 80

120

∠5 is 120°

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.