Question

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

Answer 1

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

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

m<2 = 180 - 149 = 31 degrees

25 explain) m<3 = m<6 = 53 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

m<11 = 180 -31 -53 = 96 degrees

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

180 - m<11 = m<12

180 - 96 = m<12

84 = m<12

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

127 = m<5

Answer 2

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°