Use the figure at the right to answer problems 1-8.
Classify each pair of angles as one of the following:
(a) alternate interior angles
(b) corresponding angles
9
12
(c) alternate exterior angles
(d) vertical angles
15
(e) supplementary angles
(f) none
1.
29 & 16
5
.
29 & 211
2.
215 & 211
6.
29 & 215
3.
210 & 15
7.
213 & 214
212 & 15
8.
214 & Z11
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Solution (8) :-
from image ,
1) (c) Alternate exterior angles = ∠9 , ∠16 .
2) (e) supplementry angles = ∠15 , ∠11 .
3) (a) Alternate interior angles = ∠10 , ∠15 .
4) (d) Vertical angles = ∠12 , ∠15 .
5) (b) Corresponding angles = ∠9 , ∠11 .
6) (f) none = ∠9 , ∠15 .
7) (e) supplementry angles = ∠13 , ∠14 .
8) (a) Alternate interior angles = ∠14 , ∠11 .
Solution (9) :-
→ ∠3 = ∠2 = 97° (vertical angles.)
→ ∠5 = 180° - 83° = 97° (Linear pair.)
→ ∠10 = ∠2 = 97° (Corresponding angles.)
→ ∠7 = ∠6 = 83° (vertical angles.)
→ ∠9 = (180° - ∠2) = 83° (Corresponding angles.)
→ ∠16 = ∠5 = 97° (Alternate exterior angles.)
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