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8) Calculate the sizes of the six angles indicated in the figure.
Answers:
1) t and ℓ
intersected by ℓ
and ℓ
.
3
1
2
2) a) alternate interior angles b) corresponding angles c) exterior angles on the same side
of the transversal d) interior angles on the same side of the transversal
∠
∠
∠
∠
3) a)
6 b)
3 c)
3 d)
3
∠
∠
4) a)
7, using lines ℓ3 and ℓ4 with transversal ℓ1.
3, using lines ℓ1 and ℓ2 with
∠
∠
transversal ℓ3. b)
4, using lines ℓ3 and ℓ4 with transversal ℓ2. c)
10, using lines ℓ3 and
∠
∠
ℓ4 with transversal ℓ2. d)
5, using lines ℓ3 and ℓ4 with transversal ℓ2.
7, using lines ℓ1
and ℓ2 with transversal ℓ4.
∠
∠
∠
∠
∠
∠
∠
∠
∠
∠
∠
∠
5) a)
3 and
5;
2 and
8 b)
1 and
5;
2 and
6;
3 and
7;
4 and
8
∠
∠
∠
∠
c)
2 and
5;
3 and
8
6) ∠3 and ∠5; ∠4 and ∠6
∠
∠
∠
∠
∠
∠
∠
∠
∠
7)
1 = 95°
2 =85°
3 = 95°
4 = 68°
5 = 112°
6 = 68°; 85° +
3 +
4 +
5 = 360°
∠
∠
∠
∠
∠
∠
8)
1 = 60°
2 = 120°
3 = 60°
4 = 110°
5 = 70°
6 = 110°
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