In circle T with m_SVU = 15, find the mZSTU.

HELPP!

Step-by-step explanation:

Angles in a Circle

There are many theorems that relate angles inside and outside a circle.

To solve this question we need to recall the relation of any central angle and a subtended angle by the same arc.

The image below explains this relationship:

Central angle (2x) is twice any inscribed angle (x) subtended by the same arc (marked in red).

The image provided in the question shows an arc US subtended by the inscribed angle SVU and the central angle STU.

If we know the measure of the angle SVU as 15°, then the angle STU must be twice 15°, i.e., 30°.

c

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.