Q. Illustrates the evidence is there supporting the Big Bang theory?
Answer:-
In brief the universe is expanding. Each of the galaxies we have observed that are utmost away are moving away from us. And the farther far they are the faster they are moving away. It took little imagination to rewind that picture as well as see a time when all of the matter and energy of the universe was fundamentally in one place and there was no universe. With all the energy matter couldn't have existed since we know it in an energy field so intense in that one place after arriving or being created a huge explosion the Big Bang created space time.
The energy dispersed also as things cooled down matter began to form. It's the growing universe that is the evidence for the Big Bang. That in addition to the microwave background radiation that was discovered in the 1960's and found to be everywhere that is convincing. Here's an analogy though not essentially the best one for the microwave background radiation. Imagine a cannon shell discharge in the air. After some seconds the blast is all gone but there is a cloud of smoke everywhere. The microwave background radiation is similar to the leftover smoke of the high (extremely high) energy event that was the blast of the Big Bang.