Question

Which angle is an inscribed angle

1
2
3
4

Answer 1

1. Tangent ray: a ray that lies on a tangent line and contains the point of tangency;

2. Intercepted arc: an angle intercepts an arc if the endpoints of the arc lie on the sides of the angle and all points of the arc except the endpoints lie in the interior of the angle;

3. Secant ray: a ray that lies on a secant line and contains both points of intersection with the circle; and

4. Inscribed angle: an angle with sides containing the endpoints of an arc and with a vertex that is a point of the arc other than an endpoint of the arc.

Answer 2

∠1

Explanation:

we know that

An inscribed angle in a circle is formed by two chords that have a common end point on the circle

The measure of the inscribed angle is half of measure of the intercepted arc

In this problem

∠1 is an inscribed angle

∠2 is an outer angle

∠3 is an interior angle

∠4 is an semi-inscribed angle ( angle formed by a chord and a tangent)