如图几何体中，四边形ABCD是等腰梯形，AB∥CD，∠DAB=60°，CB=CD=2．面EAD⊥面ABCD，面FCB⊥面ABCD，且CF⊥BC．

（1）证明：BD⊥AE；

（2）若△ADE是正三角形，点P为AF上的点，且PF=2PA，$CF=3\sqrt{3}$，证明：EP∥面ABCD．

独立寒秋，湘江北去，橘子洲头。看万山红遍，层林尽染；漫江碧透，百舸争流。鹰击长空，鱼翔浅底，万类霜天竞自由。怅寥廓，问苍茫大地，谁主沉浮？

携来百侣曾游。忆往昔峥嵘岁月稠。恰同学少年，风华正茂；书生意气，挥斥方遒。指点江山，激扬文字，粪土当年万户侯。曾记否，到中流击水，浪遏飞舟？

正五边形每个内角的度数为​____ 

The Shirt of a Happy Man

    Once upon a time, in a rich and beautiful country, there lived an unhappy king. He slept 1and didn't feel like eating. The queen and his people worried about him very much. One day, a doctor was called in to examine the king. But he couldn't find 2 with his body. It was all in his mind. He said the king needed the shirt of a happy person to wear. Then the prime minister, the king's banker and the palace singer were called to the palace. But they all had3worries. They weren't happy, either. The prime minister thought many people were trying to 4, then he would lose his power. The banker was afraid 5 his money. The singer said he couldn't get freedom because he always worried about being followed by 6.

    7, the king's top general was told to go out and find a happy man in three days' time.

    Two days passed, the general still couldn't find a happy man. Everyone had their own problems, Just as he was about to give up, he saw a poor man8happily on the street. The general didn't understand why the poor man was so happy, though he seemed to have 9 power, money or fame. So he went up to the poor man and asked him about the reason. The poor man said he was happy because he had everything he wanted, and he didn't want to have what he couldn't have. Hearing this, the general was excited. The poor man was the Happy Man. So he asked the poor man to give his shirt10the king. "Shirt?" said the poor man in surprise, “I don't own any shirts!”