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Question
In the given figure, if l || m, then x =
Options
105°
65°
40°
25°
Solution
The given figure:
Let us draw a line n parallel to l and m.
Thus, we can say that l || m ||n.
Also, from the figure we get :
x = ∠1 + ∠2 ...(i)
Since. l || n
Thus, alternate interior opposite angles are equal. That is,
∠1 = 65° ...(ii)
Since m||n.
Thus, alternate interior opposite angles are equal. That is,
∠2 = 40° ...(iii)
On substituting, equation (ii) and (iii) in (i):
x = 40°+65°
x = 105°
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