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Question
In the given figure below, decide whether l is parallel to m.
Sum
Solution
x + 75° = 180° (Linear pair on line l)
x = 180° − 75° = 105°
For l and m to be parallel to each other, the corresponding angles (∠ABC and ∠x) should be equal. However, here their measures are 75° and 105°, respectively. Hence, the lines l and m are not parallel to each other.
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