Answer:
two lines are parallel and another line is a transverse.
Given m∠8 = 23°
a). Since m∠1 + m∠4 = 180°[Supplementary angles]
and m∠4 = m∠8 [Corresponding angles]
Therefore, m∠1 + m∠8 = 180°
m∠1 = 180° - m∠8
= 180°- m∠8
= 180 - 23
= 157°
b). Since m∠2 = m∠6 [Corresponding angles]
and m∠6 = m∠8 [Vertically opposite angle]
therefore, m∠2 = m∠8 = 23°
c). Since m∠3 = m∠1 [vertically opposite angles]
Therefore, m∠3 = 153°
d). Since m∠4 = m∠2 [vertically opposite angles]
therefore, m∠4 = 23°
e). Since m∠5 = 180 - m∠4 [interior angles]
m∠5 = 180 - 23
= 157°
f). Since m∠6 = m∠8 [Vertically opposite angles]
Therefore, m∠6 = 23°
g). Since m∠7 = 180 - m∠6 [supplementary angles]
m∠7 = 180 - 23
= 157° tell me if you need anymore help
