What part of the Moon surface had been known to humanity before the first photos of the dark side were taken in 1959?

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Moon's libration changes the angle from which the Moon is seen, allowing about 59% of its surface to be seen from the Earth (but only half at any instant). Moon's libration is caused by the eccentricity of its orbit around Earth and by a slight inclination of its axis of rotation.
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Answers by country

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flagSouth Africa
26%
66%
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15
flagSingapore
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7%
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13
flagFrance
26%
60%
4%
4%
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flagPoland
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52%
7%
3%
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flagthe United Kingdom
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9%
4%
263
flagNew Zealand
34%
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3%
7%
26
flagthe Philippines
36%
47%
9%
4%
82
flagIndia
40%
45%
9%
4%
737
flagRepublic of Ireland
37%
45%
16%
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24
flagthe United Arab Emirates
50%
42%
0%
7%
28
flagthe Netherlands
57%
42%
0%
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19
flagIndonesia
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12
flagRomania
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16%
8%
12
flagGermany
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4%
45
flagPakistan
48%
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6%
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flagthe United States
43%
38%
10%
4%
699
flagAustralia
41%
37%
11%
7%
70
flagUnknown
38%
35%
17%
7%
39
flagGreece
58%
35%
5%
0%
17
flagCanada
51%
32%
10%
3%
58