Question

14. Line AD is parallel to line EG. If

m<3 is 70°, what is m 24?
F 10°
H 110°
G 20°
| 290°
15. Which angle is congruent to Z 3?
H 22
C 26
B 24
D 28

Answer 1

14. H. 110°

15. D. <8

Explanation:

14. Given that line AD and line EG are parallel as shown above, m<3 and m<4 are linear pairs and are supplementary. That is, m<3 + m<4 = 180°.

If m<3 = 70°, therefore, m<4 = 180° - 70°

m<4 = 110°

15. <3 corresponds with <8. Corresponding angles are congruent. Therefore, <3 = <8.