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line l || k and m || n. Find the value of angle z?please give answer

line l || k and m || n. Find the value of angle z?please give answer

Question Image
Grade:8

1 Answers

ats
103 Points
8 months ago
Let the angle formed by n and k be angle A.
Since the lines l and k are parallel and the lines m and n are parallel, the four lines form a parallelogram.
Now, angle A and the angle marked as 120o are supplementary.
Hence, 
             A + 120 = 180
         => A= 60o
Now, angle A and angle Z are equal since opposite angles of a parallelogram are always equal.
Hnece, Z=60o
 
Hope it helps! Pls approve if you found it useful.
All the best!
 
 

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