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In the given figure, l∥ml \parallel ml∥m​ and p∥qp \parallel qp∥q​. The value of x is:
Question

In the given figure, lml \parallel m​ and pqp \parallel q​. The value of x is:

A.

104o104^o​​

B.

82o82^o​​

C.

76o76^o​​

D.

96o96^o​​

Correct option is C

Given:

Given lml \parallel m​ and pqp \parallel q​​

Given angle = 104o104^o​​

Formula Used:

Corresponding angles are formed when two parallel lines are intersected by a transversal

Solution:

As shown in the marked figure:

AOB=104o\angle AOB = 104^o ​  (given)

AHK=AOB=104o\angle AHK = \angle AOB = 104^o​  (corresponding angles)

KHJ=180o104o=76o\angle KHJ = 180^ o - 104^ o = 76^o​ (linear pair)

x=KHJ=76ox= \angle KHJ = 76^o ​(corresponding angles)

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