Question

Draw a circle with centre o radius 1.5cm .Draw two radii oa and ob so that they are inclined at an angle of 120°.At a and b construct tangents to the circle .Measure the angle between the tangents

Answer 1

as we know that angle between tangent and radius is 90°
So, angle oac = 90°
angle obc = 90°
angle aob = 120° (given)
we see that aobc is a quadrilateral
so sum of all angles of quadrilateral is equal to 360°
90° + 90° + 120° + ? = 360°
? = 360° -90° - 90° - 120°
? = 60°
hence, angle between tangents is 60°