Interior Angles
Do you add, multiply, or subtract the two arcs in the Interior angles formula?
Add and then divide.
Is this an Inscribe angle? Why or why not?
No, because the vertex is not touching the outline of the circle.
An Angle vertex located in the center of the circle
Central Angle
Where does the vertex lie in exterior angles?
The vertex lies outside the circle.
What is a central angle?
An angle whose vertex lies on the center of the circle.
What is the formula for Interior Angles?
angle = arc + arc divided by two.
Which on of the following angles is an Inscribed Angle?
2.
Angle vertex located outside the circle.
Exterior angle.
In what way are the Exterior and Interior angle formula different?
The exterior formula subtracts the two arcs, while the interior formula adds the two arcs.
Which one of these angles is a central angle?
Circle 2
In the Interior angles formula, what are we solving for?
The angle.
What is an Inscribed Angle?
An angle whose vertex lies on a circle and whose sides are chords of the circle (or are side tangent to the circle).
A complete circle is equal to.
360
In what way are the exterior and interior angle formula similar?
They both solve for the angle and they both require you dividing by two after finding the sum or difference of the two arcs.
What is the measure of arc YZ?
110
Find the value of x.
x = 51
Find arc RJ
130
The vertex of an Inscribed angle lies where?
On the circle or one side tangent to the circle.
What two trig functions do Exterior angles use?
Tangent and Secant.
Find arc RB.
RB = 60
Echo solved for 1. What did she do wrong? What is the correct answer?
Echo was supposed to add the two arcs not subtract. The correct answer is actually 1 = 48.
What is corollary #1?
If two inscribed angles intercept the same arc, then the angles are congruent.
Name the four different types of angles in a given circle.
Central angle, Inscribed angle, Interior angle, Exterior angle
Find the value of x.
x = 216
What is the central angle theorem?
The measure of a center angle is equal to the measure of the intercepted arc.