Question

# If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent

- Different
- Same
- Both a and b
- None of these

Hint:

### 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. Here, we have to fill the blanks using the concept of intercepted arc and inscribed angle.

## The correct answer is: Same

### If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent.

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

We know that two angles are said to be congruent if they are equal or same in measure.

If the inscribed angles are same then the intercepted arc will also be same.

So, the answer will be same.

Therefore, the correct option is b, i.e., Same.

### Related Questions to study

### The line which intersects the circle at one point is called_____________

### The line which intersects the circle at one point is called_____________

### 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.

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 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.

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.

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

### 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.