The m<S =35° mRS=84° and RU is tangent to the circle at R. Find m<U. (1 point)

Responses
12° degree
24° degree
14° degree
7° degree

1 answer

24° degree

Explanation:
Since RU is tangent to the circle at R, we know that the angle between the tangent and the radius is 90 degrees. Therefore, m<RU = 90 degrees.

Now, we can use the fact that the sum of angles in a triangle is 180 degrees to find m<U.
m<S + mRS + m<RU = 180
35 + 84 + 90 = 209

m<U = 180 - 209
m<U = 24

Therefore, m<U = 24 degrees.