Interior Angles
Exterior Angles
Triangles
Algebra Problems
Mixed Challenge
100

The sum of the interior angles of a triangle is...

180

100

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

100

Find the missing interior angle.

26 degrees

100

1 + 1 + 2 +12 + 35 x 2

1,120

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...


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

200

The measure of the exterior angles of a regular hexagon is...

60 degrees

200

Find the measure of angle 2

72 degrees

200

Define complementary and supplementary angles

complementary sum to 90 degrees

Supplementary sum to 180 degrees

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

What is the measurement of one interior angle in an equilateral triangle?

60

300

How many sides does a nonagon have?

9

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

140 + 2(2x+1)= 284

35.5

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

in triangle ABC, angle A = 55, angle B = 90, what does angle C equal?

35

500

2,320 x 32

74,240

500

The ratio of the angles of a triangle is 2:3:5. In degrees, what is the measure of the largest angle. 

90 degrees