draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 45degree.

HERE ARE THE STEPS TO DO IT:
1 FIRST DRAW A CIRCLE OF RADIUS 5cm 
2 THEN DRAW TWO RADII WITH AN ANGLE OF 180-45=135 DEGREES
3 FROM THE END OF EACH RADII THAT TOUCHES THE CIRCUMFERENCE OF THE CIRCLE DRAW  LINES PERPENDICULAR TO THEM.
THESE ARE THE TANGENTS AND THE POINT WHERE THEY MEET FORM AN ANGLE OF 45 DEGREE
THIS IS TRUE AS ANGLE FORMED BETWEEN THE TANGENTS IS EQUAL TO THE ANGLE FORMED AT THE CENTRE WITH THE TWO RADII TOUCHING THE TANGENT AT THE POINT OF CONTACT
THIS IS HOW IT WILL LOOK THOUGHT HE ANGLES MAY NOT BE CORRECT