Mathematics
Easy

Question

# If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.

Hint:

## The correct answer is: Difference

### If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.In the question there is a blank which we have to fill using the given options.According to the theorem of Angle between intersecting Secants and Tangents, we can say thatIf a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the difference of the measures of the intercepted arcs.So, the answer will be difference.Therefore, the correct option is c, i.e., difference.

Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.