Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45º.
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45º.

Steps for construction:

i)  draw a circle with centre O,with radius BC = 5 cm

ii) Draw arcs making an angle of 180º – 45º = 135º at O such that ∠AOB = 135º

iii) At A and B, draw two rays making an angle of 90º at each point which meet each other at point P, outside the circle.

iv) Then, AP and BP are the required tangents which make an angle of 45º with each other at P.

Selina Solutions Concise Class 10 Maths Chapter 19 ex. 19 - 3