Answer:
The measure of [tex]\angle 6\ is\ 60\°[/tex].
Step-by-step explanation:
Given,
AB║CD and
m∠2 = 60°
Solution,
Since, in the figure given in attachment line segment AB is parallel to line segment CD. And t is the transversal line.
The theorem of parallel lines states that,
"If two lines are parallel and cut by a transversal line then the pair of corresponding angles are congruent."
So according to the theorem of parallel lines,∠2 and ∠6 makes a pair of corresponding angle.
And the measure of corresponding angle is equal.
So, m∠2 = m∠6
[tex]\therefore m\angle 2 = m\angle 6 = 60\°[/tex]
Thus the measure of [tex]\angle 6\ is\ 60\°[/tex].
