24,019 views
28 votes
28 votes
Given m||n, find the value of x

Given m||n, find the value of x-example-1
User Bethanne
by
2.8k points

2 Answers

27 votes
27 votes

Explanation:

(5x+28)=(7x-4)

2x=32

x=16

User Pablopixel
by
2.8k points
24 votes
24 votes

Answer:

x=16

Explanation:

The angles indicated are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

5x+28 = 7x-4

Subtract 5x from each side

5x+28 -5x = 7x-4-5x

28 = 2x-4

Add 4 to each side

28+4 = 2x-4+4

32 = 2x

Divide by 2

32/2 = 2x/2

16 =x

User Henrik
by
3.2k points