Q:

Lines L and M are parallel. Lines t^1 and t^2 are transversals. What is m<1 if m<4=65*? Justify your answer. (Ps- there isn’t any options)

Accepted Solution

A:
As lines l and m are parallels, therefore, alternate interior angles are congruent,
then:
From the figure, m∠2 and m∠4 are alternate interior angles:
Hence,
                                    m∠4 = 65°
                                    m∠4 = m∠2
and,
                                    m∠2 = 65°

Now,
The m∠1 and m∠4 are supplementary, therefore,

                                    m∠1 + m∠4 = 180°

                                    m∠1 + 65° = 180°

                                    m∠1 = 180° - 65°

                                    m∠1 = 115°