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In the diagram below, lines k and l are parallel. Find the measure of angle x in degrees.

 

 Jul 7, 2022

Best Answer 

 #2
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+4

 

The line that cuts line L at a 45o angle also makes a 45o angle with K in the little triangle. 

 

In that little triangle, one angle is 90o.  The sum of all angles of a triangle is 180o.  

 

The angle in the triangle opposite x equals 180o – (90o + 45o) = 45o   therefore x = 45o  

 Jul 7, 2022
 #1
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-1

x = 70 degrees.

 Jul 7, 2022
 #2
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+4
Best Answer

 

The line that cuts line L at a 45o angle also makes a 45o angle with K in the little triangle. 

 

In that little triangle, one angle is 90o.  The sum of all angles of a triangle is 180o.  

 

The angle in the triangle opposite x equals 180o – (90o + 45o) = 45o   therefore x = 45o  

Guest Jul 7, 2022
 #3
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NICE JOB guest!

nerdiest  Jul 8, 2022

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