Find the measure of angle R

If segment SW =12cm and segment PW = 4cm, then what is the measure of segment PQ?

What is the measure of arc SQ if the measure of angle P =  $42^0$  and arc QW = $30^{0?}$  

If the measure of angle R=35⁰, and arc XV =40⁰, then what is arc TU?

Segments AC and DM Intersect at 0. If segment AO = 3cm and CO=6cm, DO=2cm. Find the segment MO.

Suppose segments ID and AM intersect at C. If segment IC=4cm, DC=5cm, and AC=3cm, find segment MC.

In the figure, GE is tangent to circle Q at E. If GA=4cm and AT=5cm, find GE.

If arc AE =40⁰ and arc TE= 112⁰, what is angle G?

If angle G is 21⁰ and arc AE=85⁰, then what is arc TE?