For the given set of parallel lines measurement of angle 2 is equals to 60degrees.
What are parallel lines?
" Parallel lines are defined as coplanar lines which do not intersect in the same plane. They are equidistant from each other in the same plane."
According to the question,
Given,
Line 'n' is parallel to line 'm'
Line 's' is parallel to line 't'
As diagram drawn we have,
AB is a part of line 'n'
BC is a part of line 't'
CD is a part of line 'm'
DA is a part of line 's'
From this we get,
AB parallel to CD
BC parallel to DA
Therefore,
ABCD is a parallelogram.
Opposite angles in a parallelogram are congruent we have,
∠1 ≅∠3 = 120°
∠2 and ∠3 are supplementary angles.
⇒∠2 + ∠3 = 180°
⇒∠2 + 120° = 180°
⇒∠2 = 180° - 120°
⇒∠2 = 60°
Hence, for given parallel lines measure of angle2 is equals to 60degrees.
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