Theorems
Interior Angles
Exterior Angles
Arcs
Final Jeopardy
100
How many degrees is half a circle?
180 degrees
100
Arc NQ is 106 degrees. What is the measure of angle NPQ?
Angle NPQ=106 degrees
100
What is the angle measure of JAM?
Angle JAM=90 degrees
100
Angle QRS= 60 degrees. What is the measure of arc QS?
Arc QS= 60 degrees
200
What theorem states that two angles opposite each other at the intersection of two straight lines are congruent?
Vertical Angle Theorem
200
Arc DF is 54 degrees. What is the measure of the inscribed angle DGF?
Inscribed Angle DGF = 27 degrees
200
Arc ZDM =274 degrees. What is the angle measure of MZF?
Angle MZF =137 degrees
200
Angle NRQ= 23 degrees. What is the measure of arc NQ?
Arc NQ= 46 degrees
300
What theorem states that if two angles form a straight line, their sum will add to 180 degrees?
Supplementary Angles Theorem
300
This figure includes two right angles. Name the right angles. Be sure to label them appropriately. (Ex. Angle GBM)
Angles: BMZ & OZS
300
If arc LW= 32 degrees and arc UJ= 102 degrees, what is angle A? 
Angle A= 35 degrees
300
Arc ES= 87 degrees. Angle EFS= 64 degrees. Find the measure of arc ZT. 
Arc ZT= 41 degrees
400
What theorem states that an angle connected to the center of a circle is equivalent to the measure of its arc?
Central Angle Theorem
400
If arc SP=147 degrees and arc KD=87 degrees, find angle SHP. 
Angle SHP=117 degrees
400
Arc SL= 50 degrees, arc RY= 152 degrees. What is the measure of angle W?
Angle W= 51 degrees
400
Angle JAT= 113 degrees. What is the measure of arc AWJ?
Arc AWJ= 226 degrees
500
What theorem states that if a triangle is inscribed in a circle and one of its sides is the diameter of that circle, the angle opposite that side is always a right angle?
Inscribed Right Angle Theorem
500
Arc CDT =244 degrees. Find angle TCX.
Angle TCX=58 degrees
500
Arc ZKF= 246 degrees. Find the measure for angle FZB. 
Angle FZB=58 degrees
500
Angle SXZ= 68 degrees. What is the measure of arc XQS?
Arc XQS= 224 degrees
500
Name all the right angles in the figure.
VMC
VHC
QCF or QCW or VCF or VCW