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1.
...built Angkor Wat?
Chandragupta Maurya was the founder of the Mauryan Empire in India and Romesh Ranganathan is a modern British comedian.
2.
...gave out free gold to the poor between 1324 and 1325?
Mansa Musa, or Musa I, was a ruler of the Mali Empire and one of the richest people in history.
3.
...designed Fallingwater?
It is a prime example of Wright's notion of "organic architecture".
4.
...commanded the Ming treasure voyages?
The purpose of these voyages was to establish control over a large maritime trading network.
5.
...was a grandson of Genghis Khan?
Ögedei was one of Genghis' sons and Temür one of his great-great-grandsons.
6.
...ruled Tenochtitlan from 1486 to 1502?
Ahuizotl takes his name from an Aztec mythological creature with a hand on its tail.
7.
...led an ambush against three Roman legions in the Teutoburg Forest in 9 AD?
Arminius was a Germanic chieftain who was allied with the Empire since he was made a hostage when he was a child and raised in Rome. He plotted a revolt while in Germania and practically destroyed the three legions passing through the Teutoburg forest.
8.
...invented movable type printing?
Movable type technology is counted as one of the Four Great Inventions of Ancient China.
9.
...was nicknamed "Demon (Oni no)"?
He earned the nickname because of the fearless tactics he displayed.
10.
...was the first known European to set foot in North America (excluding Greenland)?
Land was sighted to the west by the explorer Bjarni Herjólfsson in 985 when he was blown off course when travelling from Iceland to Greenland. He didn't land but described the sighting to Leif Erikson, who subsequently landed there, on what is now known as Newfoundland.
11.
...sent a telegram in 1917, then admitted it was genuine, which resulted in the US entering World War I?
It was initially widely believed in the US to have been a forgery perpetrated by British intelligence, but then Zimmermann publicly admitted that it was genuine.
12.
...was defeated by Timur at the Battle of Ankara?
His defeat and capture by Timur led to a civil war in the Ottoman Empire, as his sons each claiming the throne for themselves.
13.
...made Eastern Orthodox Christianity the official religion of the Kievan Rus'?
He was visited by representatives of various religions in 986. He chose not to convert to Islam due to its taboos against alcohol and pork, nor to convert to Judaism. He sent out envoys the following year to study the religions of neighbouring regions and they were impressed by rituals occurring at Hagia Sophia
14.
...is considered to be the first Pharaoh of the Twenty-fifth Dynasty of Egypt?
The Twenty-fifth Dynasty consisted of pharaohs from the Kingdom of Kush, after Piye conquered Egypt.
15.
...is thought to have ordered the construction of Machu Picchu?
Pachacuti Inca Yupanqui
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Archaeologists believe that it was supposed to be his royal estate, probably after a successful military campaign.