Question

# Inscribed angle is half the measure of its _____________.

- Inscribed arc
- Intercepted arc
- Both a and b
- None of the above

Hint:

### Inscribed angle theorem states that, "Inscribed angle is half the measure of its intercepted arc.". Here, we have to fill the blank using the concept of inscribed angle.

## The correct answer is: Intercepted arc

### In the question there is a blank which we have to fill using the given options.

According to the Inscribed angle theorem we can say that, "Inscribed angle is half the measure of its intercepted arc."

So, the answer will be Intercepted arcs.

Therefore, the correct option is b, i.e., Intercepted arcs.

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

### 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.