Circle r has a radius of 6 inches. point s, t, and u lie on circle r, clockwise in alphabetical order. if the measure of angle trs =98 degrees, what is the measure of angle tus?

1. Check the picture atached.

2. R is the radius, so TRS is a central angle and its measure is 98°, so arc ST has measure 98° as well.

3. TUS is an inscribed angle intercepting arc ST, so the measure of TUS is 1/2 of the measure of arc ST = 49°

4. Remark we can also say directly that m(TUS)=1/2m(TRS) since they intercept the same arc.