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To draw a pair of tangents to a circle which are inclined to each other at an angle of 45° it is required to draw tangents at the end point of those two radii of the circle, the angle between which is :​
  • a)
    105°
  • b)
    135°
  • c)
    145°
  • d)
    70°
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
To draw a pair of tangents to a circle which are inclined to each othe...
To draw a pair of tangents to a circle inclined to each other at an angle of 45 degrees, follow these steps:

1. Draw a circle with the desired radius at the center of your paper.
2. Determine the desired point on the circle where the first tangent will touch. This point can be anywhere on the circumference of the circle.
3. Draw a line segment from the center of the circle to the chosen point on the circumference. This line segment will act as the radius of the circle.
4. Bisect the line segment drawn in step 3 to find the midpoint.
5. From the midpoint, draw a perpendicular line that intersects the circle at two points. These two points will be the points where the tangents touch the circle.
6. Draw lines from the center of the circle to the two points of intersection found in step 5. These lines are the tangents to the circle.
7. The angle between these two tangents will be 45 degrees.

Remember to use a ruler or any other straight edge to ensure accuracy while drawing the lines and angles.
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Community Answer
To draw a pair of tangents to a circle which are inclined to each othe...
135 degrees
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