Answer:
9. m<2 & m<6
10. m<3 & m<7
11. m<6 = 47°
12. m<3 = 133°
Step-by-step explanation:
9 - 10.
Both pairs follow the Same Side Interior Angles Theorem—the If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
11.
if m<6 = m<2
then m<2 = 47°
Both pairs follow the Same Side Exterior Angles Theorem—The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
12.
Base (3-Lines) 180°
if m<6 = 47°
180° - 47° = 133°
m<3 = 133°
