To find the measure of angle U, we can use the fact that angle S = 21° and angle STR (formed by TS and RS) is 100° (since it is formed by a diameter and a tangent).
Angle U is an inscribed angle that subtends the same arc as angle STR. Therefore, angle U is half of angle STR.
So, angle U = 100° / 2 = 50°.
Therefore, none of the given options are correct. Angle U is 50°, not 79°, 29°, 58°, or 39.5°.
In the circle, measure angle symbolS = 21°, mmodifying above upper R upper S with concave arc = 100°, and modifying above upper R upper U with bar is a tangent. The diagram is not drawn to scale.
A circle is shown with diameter upper S upper T with point upper R on the top edge of the circle.· Point upper R is on the edge of the circle above and to the left of upper T and is connected to upper S with a line segment.
· Point upper U is on line upper S upper T but is outside the circle to the right of upper T.
· Upper U is connected to upper R with a line segment so triangle upper R upper S upper U is formed.
What is measure angle symbolU?
(1 point)
Responses
79°
79°
29°
29°
58°
58°
39.5°
39.5°
1 answer