In quadrilateral ABCD, with parallel sides AB and CD, and an angle <2 measuring 35°, the alternate interior angles theorem establishes that angle <5 has an equal measure of 35°.
In the given quadrilateral ABCD, where AB || CD and the measure of angle <2 is 35°, we aim to determine the measure of angle <5.
The parallel lines AB and CD are cut by a transversal, forming alternate interior angles <2 and <5. According to the alternate interior angles theorem, when two parallel lines are intersected by a transversal, alternate interior angles are congruent. Therefore, m<2 = m<5.
Given that the measure of angle <2 is specified as 35°, this information applies to angle <5 as well. Thus, we conclude that in quadrilateral ABCD, where AB || CD and m<2 = 35°, the measure of angle <5 is also 35°.