Question

Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is m∠TUS? how do i figure this out? what are the steps?

Answer 1

You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.

Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.

You also know that m∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.

360° - 98° = 262°
therefore, m∠TUS is 262°

Answer 2

(<) = angle

<TUS=1/2 <TRS

<TUS=1/2x98°=49°

So <TUS=49°