Answer:
m(1)= 77°, m(6)= 56°, m(13)= 77° , m(2)= 103° ,m(8)= 77° ,m(14)= 103°
Step-by-step explanation:
a // b
m(10) = m(1) = 77° (corresponding angles)
m(6) = m(11) (alternate angles)
m(7) = m(12) (alternate angles)
m(10) + m(11) + m(12) = 180°
m(11) = 180° - (77° + 47°) = 56°
m(6) = 56°
m(10) = m(13)= 77° (vertically opposite angles)
m(2) = m(11) + m(12) = 56° + 47° =103°(corresponding angles)
m(8),m(7) and m(11) make a triangle,so.....
m(8) = 180° - (47° + 56°) = 77°
m(14) = m(11) + m(12) = 56° + 47° =103° (vertically opposite angles)
