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liberstina [14]
3 years ago
13

Please help this is the last problem on my homework and I don’t understand how to do it

Mathematics
2 answers:
malfutka [58]3 years ago
6 0
When the lines are parallel and angles are given, and since a straight line is 180°, the 2 angles of the line intersecting the parallel lines have to add up to be 180. Therefore,
21. 31°
22. 96°
23. 149°
24. 84°
25. 53°
4vir4ik [10]3 years ago
4 0

Answer:

21. m<2 = 31 degree

22. m<11 = 96 degrees

23. m<5 = 127 degree

24. m<12 = 84 degree

25. m<6 = 53 degree

Step-by-step explanation:

21 explain) m<8 = m<1 = 149 degree b/c Alternate angle rule

                  m<1 + m<2 = 180 b/c straight line is 180 degrees

                  m<2 = 180 - m<1

                  <u><em>m<2 = 180 - 149 = 31 degrees</em></u>

<u><em></em></u>

25 explain) m<3 = <u><em>m<6 = 53</em></u> degree b/c Alternate angle rule

22. explain) m<7 = m<8 - 180 b/c straight line is 180 degrees

                    m<7 = 180-149 = 31

                    m<11 = 180 - m<7 - m<6

                    <u><em>m<11 = 180 -31 -53 = 96 degrees</em></u>

<u><em></em></u>

24. explain) 180 = m<11 + m<12 b/c straight line is 180 degrees

                    180 - m<11 = m<12

                     180 - 96 = m<12

                     <u><em> 84 = m<12</em></u>

<u><em></em></u>

25. explain) m<3 = m<6 = 53 degree b/c Alternate angle rule

                   180 = m<5 + m<6 b/c straight line is 180 degrees

                      180 - m<6 = m<5

                     180 - 53 = m<5

                      <u><em>127 = m<5</em></u>

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