Question

if measurement of arc ST=96, then meas. of angle Q=? meas. of angle R=?
Refer to the figure below to complete the following.

Answer 1

m<Q = (1/2) measure of arc ST because an inscribed angle has measure 1/2 its intercepted arc.

So, m<Q = 1/2 (96) = 48

m<R = 48 also because in the same circle, if two inscribed angles intercept the same arc, then they are congruent.

Answer 2

@Directrix Thanks.