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seropon [69]
4 years ago
13

In the diagram below, a transversal intersects line a and b.

Mathematics
1 answer:
lisov135 [29]4 years ago
8 0
<span>When two lines are crossed by a transversal, the lines are </span>parallel if <span>the </span>Alternate Interior Angles are equal<span>. 
</span><span>Alternate Interior Angles in the diagram are 1 and 5; 4 and 8; 2 and 6 and 3 and 7.
If lines a and b are parallel, then angle 1 must equal angle 5. 
If that's the case then </span><span>2x+30 equals 5x ‒ 45
</span><span>Solving 2x+30 =  5x ‒ 45
3x = 75
x = 25
So, when x = 25, the lines are parallel.


</span>
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