In each of the following, indicate the number of triangles that can be constructed with the given sides and angles.

					Number of triangles
					0	1	2
1.	α = 45°	b = 6	c = 5	1.		x
2.	α = 19°	β = 47°	c = 10	2.		x
3.	α = 76°	β = 42°	b = 6	3.		x
4.	α = 119°	β = 71°	b = 6	4.	x
5.	a = 2	b = 2	c = 4	5.	x
6.	a = 2	b = 2	c = 3	6.		x
7.	a = 10	b = 6	c = 12	7.		x
8	α = 45°	b = 10	a = 8	8.			x
9.	g = 45°	c =	a = 10	9.		x
10.	β = 45°	c = 10	b = 10	10.		x
11.	β = 45°	b = 12	c = 10	11.		x
12.	β = 45°	b = 4	c = 10	12.	x
13.	g = 130°	c = 10	b = 5	13.		x
14.	g = 130°	c = 10	a = 6	14.		x
15.	g = 130°	c = 5	a = 6	15.	x
16.	g = 130°	c = 5	a = 5	16.	x
17.	α = 60°	b = 14	a =	17.		x
18.	α = 60°	b = 14	a =	18.			x
19.	α = 60°	b = 14	a =	19.		x
20.	α = 60°	b = 14	a =	20.		x

21. How many triangles can be constructed with the following angles:

α = 100°         b = 30.5°        g = 50.5° ?

22. How many triangles can be constructed with the following angles:

α = 70.3°        b = 43.5°        g = 66.2° ?

answers: 21. none 22. many