However, Queen Beatrix, did not win the people's love and respect without a little tragedy.
Queen Beatrix asked Rutte and his ministers to stay in their positions until new elections.
Orange fireworks were accompanied by a huge fanfare as Queen Beatrix of the Netherlands opened the building.
BBC: The renovated Rijksmuseum in Amsterdam wins rave reviews
Queen Beatrix, of the Netherlands, walks an orange carpet this week to reopen the Rijksmuseum, in Amsterdam.
Queen Beatrix's consort Prince Claus suffered from severe depression for years and felt constrained by his role.
CNN: What Dutch 'bicycling monarchs' can teach world's royals
However, Queen Beatrix came to the rescue with a royal seal of approval.
Friso, a son of Queen Beatrix of the Netherlands, had been airlifted to hospital in Innsbruck after the incident.
Queen Beatrix is the sixth monarch from the House of Orange-Nassau, which has ruled the Netherlands since the early 19th Century.
On the eve of her abdication, Queen Beatrix said that marrying the plain-spoken German nobleman had been the best decision she ever took.
In a televised address Monday night, Queen Beatrix said she knows the new royal couple will have the loving trust of the nation.
On Monday, Queen Beatrix thanked the nation, saying the people's devotion had given her the strength to carry on during her 33-year reign.
Queen Beatrix's mother Juliana resigned the throne in 1980 on her 71st birthday, and her grandmother Wilhelmina abdicated in 1948 at the age of 68.
In reality it is a style pioneered by Queen Juliana and continued by Queen Beatrix of being less formal and more approachable and this is extremely popular domestically.
CNN: What Dutch 'bicycling monarchs' can teach world's royals
The squad met Queen Beatrix at her palace in The Hague in the morning, followed by a boat tour through Amsterdam's canals and a party in the city's Museum Square.
Queen Beatrix swore in the new government at the royal palace in the The Hague, in a ceremony that was broadcast live on Dutch television and online for the first time.
Born on 27 April 1967 as the first child of Queen Beatrix and the late Prince Claus, the Prince of Orange is the first male head of state of the Netherlands since 1890.
When she abdicated in 1980 in favour of her daughter Beatrix, the present queen, it occurred to some that this shy, plain woman might never have wanted majesty very much.
Saunders said he believed that in contrast to Beatrix, Britain's Queen Elizabeth would never abdicate, because of the 1, 000 years of history behind her, and the trauma of her uncle, King Edward VIII's abdication.
Beatrix stepped down on the national holiday known as Queen's Day, an opportunity for people across the Netherlands to dress up and party.
"I have always considered it as an extraordinary privilege to be able to put a big part of my life at the service of our country and in accordance with my task to add substance to my kingship, " said Beatrix, who acceded to the throne when her mother, Queen Juliana, abdicated in 1980.
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