Question

If angle between two radii of a circle is
140
°, then find the angle between the
tangent at the ends of the radii.
​

Answer 1

Answer:

40°

Step-by-step explanation:

. Angle given is 140°

. Since the tangents and radii are perpendicular at the point of contact, the quadrilateral is formed by two radii and tangents at the ends so we have two right angles.

. Let the angle between the tangents be "X".

140+90+90+X=360

140+180+X=360

320+X=360

X=360-320

X=40°.

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Answer 2

Answer:

Answer is 40°

Step-by-step explanation:

Since tangents and radii are perpendicular at the point of contact, in the quadrilateral formed by the two radii and the tangents at their ends, we have two right angles at the two points of contacts.

Let the angle between the tangents be x.

140+90+90+x=360

140+180+x=360

320+x=360

x=360-320

x=40°