Mathematics
Grade9
Easy
Question
If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is _____________ the measure of its intercepted arc.
- Double
- Triple
- Half
- None of these
Hint:
According to the tangent and intersecting chord theorem, we can say that "If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is half the measure of its intercepted arc." Here, using this theorem we have to solve this problem.
The correct answer is: Half
In the question there is a fill in the blanks which we have to fill using the given options.
According to the tangent and intersecting chord theorem, we can say that
If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is half the measure of its intercepted arc.
So, the answer will be half.
Therefore, the correct option is c, i.e., half.
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.
