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Line a is parallel to line b, m∠1=2x+44 and m∠ 5=5x+38 Find the value of x.

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Line a is parallel to line b, m∠1=2x+44 and m∠ 5=5x+38 Find the value of x. 3 1 2 -1-example-1

1 Answer

3 votes
Line a is parallel to line b:
m∠1=m∠ 5, because they are correspondent angles, then:
2x+44=5x+38
Solving for x:
2x+44-2x-38=5x+38-2x-38
6=3x
3x=6
Dividing both sides of the equation by 3
3x/3=6/3
x=2

Answer: Third option: 2
User Dudebrobro
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