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A real life example would be the two angles on the sides of the Leaning Tower of Pisa.
The square root of 2 and the value of pi are two examples of irrational numbers which can't be expressed as fractions
There is only one biosphere. The biosphere is the culmination of all life on Earth, hence, sphere.
The frequency of the earth's orbit around the sun: 1 year The frequency of the earth's rotation on its axis: 1 day.
When two angles have common vertex and side but do not overlap, they are said to be adjacent angles. Some real examples are intersection of two roads, hands of a clock etc.