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In the given figure l is parallel to m and m is parallel to n. Find the value of x°. 
Question

In the given figure l is parallel to m and m is parallel to n. Find the value of x°. 

A.

130o130^o​​

B.

100o100^o​​

C.

50o50^o​​

D.

30o30^o​​

Correct option is A

Given:

Given that l is parallel to m and m is parallel to n

BAD=50o\angle BAD = 50^o​​

Formula Used:

The interior angles are angles inside the parallel lines on same side of transversal

The sum of interior angles = 180^o

Solution:

When l is parallel to m and m is parallel to n then l is parallel to n

In lines l and n, xox^o​ and BAD\angle BAD​ are interior angles

xo+BAD=180ox^o + \angle BAD = 180^o​​

xo+50o=180ox^o + 50^o = 180^o​​

x=180o50o=130ox= 180^o - 50^o = 130^o​​

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