Question
The measure of an inscribed angle is _____________ the measure of its intercepted arc
- Half
- Double
- Triple
- None of above
Hint:
According to the Inscribed angle Theorem, we can say that "The measure of an inscribed angle is half the measure of its intercepted arc.". Here, we have to use this theorem to fill the blank.
The correct answer is: Half
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
The measure of an inscribed angle is half the measure of its intercepted arc.
So, the answer will be half.
Therefore, the correct option is a, 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.
Related Questions to study
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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.
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