Solve the
following problems dealing with angles in circles.
(Do not assume diagrams are drawn to scale.)
1. 

Given two secants with one
going through the
center of the circle, find x. 
Choose: 

2. 

Given two secants, find x.
Hint: find y first. 
Choose:


3. 

Given two tangents,
find x.

Choose:


4. 

Given a tangent and a secant going through the
center of the circle, find x. 
Choose:


5. 

Given two secants,
find x.

Choose:


6. 

Given two secants,
find x.

Choose:


7. 

Given a tangent and a secant, find x.

Choose:


8. 

Given two tangents,
find x.

Choose:


9. 

Given two secants,
find x.

Choose:


10. 
In which of the following diagrams is <1
NOT always
equal to <2? 
Choose:


11. 
From point P outside of a circle, two
secants,
,
are drawn. Angle P contains 32°, and minor arc
contains 50°. Find the number of degrees in
minor arc
.

Choose:


13. 
A ferris wheel is being illuminated by a
spotlight for evening entertainment. The spotlight
is located such that a light beam strikes the wheel
tangent at the points A and B. A
light beam also goes through the center of the wheel,
O. The
,
BC = 60 meters, and EC =
43.6 meters. Find the measure of
the angle between the light beams
and .
Find the diameter of the ferris wheel
to the nearest meter.

Answer


