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 ************************************************************************************************* 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 *********************************************************************************************** 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) ******************************************************************************************* help solve: if p II q and m<1 = 125 degrees, then m<3 = ____________ m<4 = ____________, m<5=_____________ and m<6 =___________________ A big thanks!

Expert Answers

An illustration of the letter 'A' in a speech bubbles

1 (a) true

(b) true

(c) true

(d) false

(e) false

(f) true

2. (a) correct

(b) correct

(c) correct

(d) correct

(e) correct

(f) correct

(g) correct

(h) correct

(i) Incorrect. correct answer would be alternate interior angle converse theorem

(j) incorrect, <1 and <2 are a linear pair

Since p and q are parallel and <1 = 125.

<1 and <3 are a linear pair, that is <1+<3 = 180 or <3 = 180-125 = 55

<3 = <6 = 55 (Alternate interior angles)

<1=<4 = 125 (vertical angles)

and <4=<5 =125 (alternate interior angles) 

As far as the true/false and correct/incorrect part of the assignment, you have done a great job, clearly showing an understanding of angles. Good job. 

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