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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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