w
1 2
This is the diagram p
3 4
5 6
q
7 8
There is a slanted line that goes through 1,2 down through 7,8
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1. are these statements correct < symbol is going represent the angle sign
a. <1 and <5 are corresponding angles
b. <2 and <7 are alternate exterior angles
c. <3 and <6 aer alternate interior angles
d. <5 and <7 are verticle angles
e. <4 and <3 are consecutive interior angles
f. Line W is a transversal
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match the theorem or postulate for each statement. are my answers correct?
If p II q, then <4 is congruent to <5 (Alternate interior angles theorem)
If p II q, then m<3 + m<5 = 180 degrees (consecutive Interior angle. converse theorem)
If p II q, then <2 is congruent to <6 (corresponding angles postulae)
If p II q, then <1 is congruent to <8 (alternate exterior angles theorem)
<2 is congruent to <3 (vertical angles congruence theorem)
If <3 is congruent to <7, then p II q (corresponding angles converse postulate)
If <3 is congruent to <6, then p II q (alternate interior angles converse theorem)
if m<4 + m<6 = 180 degrees , then p II q (consecutive interior angle converse theorem)
if <2 = <7, then p II q (Linear pair postulate)
m<1 + m<2 = 180 degrees (alternate interior angles theorem)
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help solve:
if p II q and m<1 = 125 degrees, then m<3 = ____________
m<4 = ____________, m<5=_____________ and m<6 =___________________
A big thanks!