Proving theorems about lines and angles: mastery test
drag the tiles to the boxes to form correct pairs.
in the diagram, transversal t cuts across the parallel lines a and b. match the pairs of angles with the relationship that shows they are congruent.
alternate exterior angles
22, 23 and 25, 28
alternate interior angles
21, 28 and 22, 27
corresponding angles
23, 26 and 24, 25
edimentum. allights
served

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure