Answer:
a) Given
b)STR =TRU
c)Line SR||TU
d)Alternate interior angle theorem:
e)Identity theorem:
f) ΔSRT = ΔUTR
Explanation:
a) Given: This was already provided in the problem statement
b) STR =TRU: This is because the two angles are alternate interior angles. To point them out in a geometry consisting of two parallel lines joined together with a slant line, Just look for the "Letter Z" in the shape. The two interior angles are vertically opposite.
c)Line SR||TU: This is already given in the problem statement
d)Alternate interior angle theorem: This is because line SR is parallel to line TU. Hence, another "Letter Z" can be noticed between the two lines. Therefore, the alternate interior angles there are equal.
e)Identity theorem: Every parameter is equal to itself in value
f) ΔSRT = ΔUTR: Congruent triangles