Mathematics

Problem

Lines

\ell

and

m

are cut by a transversal

t

. If

\angle 1

and

\angle 2

are alternate interior angles and

\angle 1 = \angle 2 = 75^\circ

, what can you conclude about the relationship between

\ell

and

m

? a)

\ell \perp m

b) No unique relationship can be concluded between

\ell

and

m

\ell \parallel m

t \parallel \ell