The sum of the interior angles of a triangle is...
180
The sum of the exterior angles on any polygon is...
Bonus 100 points for specifying which types of polygons the exterior angles sum applies to
360 degrees, only applies to convex polygons
Find the missing interior angle.
26 degrees
The difference between convex and concave
concave has cavities
convex is filled out/no cavities
What is the measure of one interior angle of a regular pentagon?
108 degrees
The formula for the sum of the interior angles of a polygon with n sides is...
Bonus 200 pts for the formula of each interior angle using n for the number of sides
180(n-2), or 180n - 360
the above divided by n
The measure of the exterior angles of a regular hexagon is...
60 degrees
Find the measure of angle 2
72 degrees
Define complementary and supplementary angles
complementary sum to 90 degrees
Supplementary sum to 180 degrees
What is the measure of one exterior angle of a polygon with 360 sides?
1 degree
The interior angle sum of a 9-sided polygon, also called a nonagon or enneagon, is this number of degrees.
1260°
The sum of the exterior angles of a 36-gon is...
360 degrees
Find x.
x = 4
What is the difference between a regular and irregular polygon?
bonus 100 can a polygon be both irregular and convex? draw an image to support
Regular polygons have all sides and angles equal
yes
When using a protractor to measure a rotation, how does one tell whether to use the numbers on the top or the bottom
By whether the rotation is counterclockwise or clockwise
The sum of the interior angles of a polygon with 17 sides is...
2700
The measure of an exterior angle of a regular quadrilateral is...
90 degrees
Triangle ABC has angle A = (12x-4)°, and angle B = (18x+10)°. The exterior angle at C = (24x+18)°.
Find x.
x = 2
What is the naming convention for angles? Draw and label an angle and list two different ways to name it
see board
15 sides
The sum of the interior angles of a polygon with 1000 sides is...
179640 degrees
A regular polygon with an exterior angle measure of 18 degrees has how many sides?
20
Find x.
x = 67
Draw a line, line segment, and a ray and all of their naming conventions
see board
The ratio of the angles of a triangle is 2:3:5. In degrees, what is the measure of the largest angle.
90 degrees