Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed.

Using the definition of isosceles triangles, m∠1 = 40°.
An isosceles triangles is a triangle that has two congruent base angles and two congruent sides.
Thus:
x = 70° (alternate angles are congruent)
Therefore:
m∠1 = 180 - 2(70) (triangle sum)
m∠1 = 40°
Therefore, using the definition of isosceles triangles, m∠1 = 40°.
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