Kuini18idn
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1.Lines p and q are cut by transversal r.Find the value of x that makes p ll q.

a.<2 and <7 are alternate interior angles,
m<2 = 5x – 11 and m <7 = 3x + 7 . x=____

b.<1 and <4 are some-side exterior angles,
m<1 = 6x + 3 and m < 4 = 4x + 7 . x =____
​

1Lines P And Q Are Cut By Transversal RFind The Value Of X That Makes P Ll Qalt2 And Lt7 Are Alternate Interior Anglesmlt2 5x 11 And M Lt7 3x 7 Xblt1 And Lt4 Ar class=

Sagot :

Gabrielcuyaidn

Direction: 1. Lines p and q are cut by transversal r. Find the value of x that makes p ll q

Answer:

a.<2 and <7 are alternate interior angles,  m<2 = 5x – 11 and m<7 = 3x + 7.

x=9

b.<1 and <4 are some-side exterior angles,  m<1 = 6x + 3 and m<4 = 4x + 7.

x=2

Solution:

#TO FIND THE VALUE OF "X"

a. Given: (m<2 = 5x – 11 and m<7 = 3x + 7)

m<2=m<7

5x-11=3x+7

5x-3x=7+11

2x=18

2x/2=18/2 (Divide both sides by 2)

x=9

#Check first

#Substitute x by 9

#If x=9

m<2=m<7

5x-11=3x+7

5(9)-11=3(9)+7

(45)-11=(27)+7

34=34

b. Given: (m<1 = 6x + 3 and m<4 = 4x + 7)

m<1=m<4

6x+3=4x+7

6x-4x=7-3

2x=4

2x/2=4/2 (Divide both sides by 2)

x=2

#Check first,

#Substitute x by 2

#If x=2

m<1=m<4

6x+3=4x+7

6(2)+3=4(2)+7

(12)+3=(8)+7

15=15

Explanation: They are both equal and correct to each other when you finding the value of x then replaced x by any number that it depends on the given equation.

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