makirunningcrane
Answered

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

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