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Find the value of x so that line m is parallel to line l.

Find the value of x so that line m is parallel to line l.-example-1
User Julfikar
by
4.6k points

2 Answers

1 vote

Answer: A) 46

Step-by-step explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

User Martin Brandl
by
3.9k points
6 votes

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46

User Offworldwelcome
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4.8k points