Answer:
1. m<2 = 115 °
2. m<5 = 83 °
3. m<8 = 45 ° 
4. m<4 = 137 ° 
Step-by-step explanation:
1. Determination of m<2
m<1 = 115 °
m<2 =? 
m<2 = m<1 (vertically opposite angles are equal) 
m<2 = m<1 
m<2 = 115 °
2. Determination of m<5
m<6 = 83 °
m<5 =? 
m<5 = m<6 (vertically opposite angles are equal) 
m<5 = m<6
m<5 = 83 °
3. Determination of m<8
m<9 = 45 °
m<8 =? 
m<8 = m<9 (vertically opposite angles are equal) 
m<8 = m<9
m<8 = 45 °
4. Determination of m<4
m<3 = 137 °
m<4 =? 
m<4 = m<3 (vertically opposite angles are equal) 
m<4 = m<3 
m<4 = 137 °