11-14 can someone plzzz help me with those and show work bc I’m not understanding this plz and thank u

Part 11)

Part 12)

Part 13)

Part 14)

Step-by-step explanation:

Part 11)

step 1

Find the measure of arc WX

we know that

---> by complete circle

substitute the given values

step 2

Find the measure of angle VSX

we know that

----> by central angle

Remember that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it

substitute the given values

Part 12)

step 1

Find the value of x

we know that

---> by complete circle

----> by central angle

substitute the given values

solve for x

step 2

we know that

----> by central angle

so

Part 13)

step 1

Find the measure of arc LM

we know that

The inscribed angle is half that of the arc comprising

so

step 2

Find the measure of arc LK

we know that

---> because segment KM is a diameter (the diameter divide the circle into two equal parts)

substitute the given value

step 3

Find the measure of angle x

we know that

The inscribed angle is half that of the arc comprising

so

substitute the given value

Part 14)

step 1

Find the value of x

we know that

----> by complete circle

solve for x

step 2

Find the measure of arc XZ

step 3

Find the measure of angle XYZ

we know that

The inscribed angle is half that of the arc comprising

so

substitute the given value