Interior Angles
Exterior Angles
Triangles
Can You Build It?
Challenge
100
The sum of the interior angles of a triangle is...
180
100
The sum of the exterior angles on any polygon is...
360
100
Find the missing interior angle.
26 degrees
100
Which of the following sets of side lengths can form a triangle?
a) 12, 19, 7.001
b) 3, 7, 9
c) 18, 24, 5
d) 72, 19, 91.1
a and b both form triangles. c and d do not.
100
What is the measure of one interior angle of a regular pentagon?
108 degrees
200
The formula for the sum of the interior angles of a polygon with n sides is...
180(n-2), or 180n - 360
200
The measure of the exterior angles of a regular hexagon is...
60 degrees
200
Find the measure of angle 2
72 degrees
200
A triangle has side lengths of 3 and 4. The range of values of the third side can be expressed by this inequality, written in the form,
(lower bound) < x < (upper bound)
1 < x < 7
200
What is the measure of one exterior angle of a polygon with 360 sides?
1 degree
300
The interior angle sum of a 9-sided polygon, also called a nonagon or enneagon, is this number of degrees.
1260°
300
The sum of the exterior angles of a 36-gon is...
360 degrees
300
Find x.
x = 4
300
A triangle has side lengths of 12.9 and 18.6. The range of values of the third side can be expressed by this inequality, written in the form,
(lower bound) < x < (upper bound)
5.7 < x < 31.5
300
What is the measure of an interior angle of a regular decagon?
144 degrees
400
The sum of the interior angles of a polygon with 17 sides is...
2700
400
The measure of an exterior angle of a regular quadrilateral is...
90 degrees
400
Triangle ABC has angle A = (12x-4)°, and angle B = (18x+10)°. The exterior angle at C = (24x+18)°.
Find x.
x = 2
400
A triangle has side lengths of 3/5 and 13/20. The range of values of the third side can be expressed by this inequality, written in the form,
(lower bound) < x < (upper bound)
1/20 < x < 5/4
400
I'm thinking of a regular polygon whose interior angles each measure 156 degrees. How many sides does the polygon have?
15 sides
500
The sum of the interior angles of a polygon with 1000 sides is...
179640 degrees
500
A regular polygon with an exterior angle measure of 18 degrees has how many sides?
20
500
Find x.
x = 67
500
A triangle has side lengths of a and b. The range of values of the third side can be expressed by this inequality, written in the form,
(lower bound) < x < (upper bound)
|a-b| < x < a+b
500
I'm thinking of a regular polygon whose exterior angles each measure 3.6 degrees. How many sides does this polygon have?
100 sides