Question

line segment VM intersects circle S at point R what must the measure of angle o be in order for line segment VW to be tangent to circle S?-45-90-180-360question and answer questions are in the image

Answer 1

We need to find the measure of angle theta such that the circle is tangent to line vw.

For the circle to be a tangent circle, it will only touch the segment vw at one point. This condition is not met if the angle theta is different from 90°:

As you can see, when the angle is not 90°, the circle touches the segment at more than one point, which is not valid for a tangent circle.

Thus, the angle has to be equal to 90°:

Answer:

90°