A) \[18{}^\circ \]
B) \[22{}^\circ \]
C) \[62{}^\circ \]
D) \[72{}^\circ \]
Correct Answer: C
Solution :
Draw a ray rs parallel to pp' and qq' \[\angle o=140{}^\circ ,\,\,\angle o'=158{}^\circ \](Opposite angles) \[\angle p'or+\angle ors=180{}^\circ (pp'||qq',co\text{-}\operatorname{int}\,\text{angles})\] and \[\angle q'o'r+\angle o'rs=180{}^\circ \] \[(pp'||qq',co\text{-}\operatorname{int}\,\text{angles})\] adding \[\angle p'or+\angle ors+\angle q'o'r+\angle o'rs=360{}^\circ \] \[140{}^\circ +\angle ors+158{}^\circ \angle o'rs=360{}^\circ \] \[\angle ors+\angle o'rs=360{}^\circ -298{}^\circ =62{}^\circ \] \[\angle x=62{}^\circ \]You need to login to perform this action.
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