Answer:
6. B
7. C
8. B
9. C
10. A
11. D
12. C
13.D
14 .A
15 C
Step-by-step explanation:
6. Consecutive interior angles are the pair of non-adjacent interior angles that lie on the same side of the transversal.
7. Angle g and f is consecutive interior angles, so, they are supplementary, which means their sum measure of angle is 180°.
8. Angle a and e is example of Alternate exterior angles, means their measure of angle is congruent to each other.
9. Angle f and b is example of alternate exterior angle. So they are congruent .
10. Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
11. Angle a and c is example of corresponding angles.
12. Angle d and h is congruent because they are one example of alternate exterior angle.
13. The sum of angle g and f is 180°. Means we need to subtract the measure of angle f from 180 to get the measure of angle g.
14. Corresponding angles is angles have one interior and one exterior angles.
15. a= 3x , e = x+50
These angles is congruent according to alternate exterior angles theorem.
3x = x + 50
3x-x = 50
2x = 50
x = 25
Hence, the value of x is 25.