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Question
In the given figure, if l1 || l2, what is the value of x?
Options
80°
85°
90°
95°
Solution
In the given figure:
Since, l1 || l2therefore, the pair of corresponding angles should be equal.
That is;
∠1 = 37°
Also,
\[\angle1\text { and } \angle2\] are vertically opposite angles, therefore,
∠2 = ∠1
∠2 = 37°
Since 58°, ∠2 and x form a linear pair. Therefore,
58 +∠2 + x = 180°
58° + 37° | x = 180°
95° + x = 180°
x = 180° - 95°
x = 85°
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