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.

- Sum
- Product
- Difference
- None of the above

Hint:

### According to the theorem of Angle between intersecting Secants and Tangents, we can say that "If 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.". Here, we have to fill the blank using this theorem.

## 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 that

If 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.

### Related Questions to study

### Inscribed angle is half the measure of its _____________.

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.

### Inscribed angle is half the measure of its _____________.

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.

### If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.

Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.

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.

### If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.

Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.

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.