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>