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Question
In the given figure, if lines l and m are parallel, then the value of x is
Options
35°
55°
65°
75°
Solution
The given figure is as follows with : l || m
Also, ∠1 and ∠2 form a linear pair. Thus,
∠1 +∠2 = 180°
It is given that ∠2 = 90°, substituting this value , we get :
∠1 + 90° = 180°
∠1 = 180° - 190°
∠1 = 90° (i)
In a triangle, we know that, the exterior angle is equal to the sum of the interior opposite angle.
In ΔAOB:
x + ∠1 = 125°
x = 125° - ∠1
From equation (i):
x = 125° - 90°
x = 35°
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