Show:
Angles in Lines
Interior Angles in Triangles
Exterior Angles in Triangles
Interior Angles in Polygons
Polygons
100
What are supplementary angles?
Angles that add up to 180 degrees.
100
What is the interior angle sum of a triangle?
180 degrees.
100
In triangle ABC, what is the relationship between the exterior angle at C and the two interior angles furthest from it?
Exterior Angle at C = Angle A + Angle B
100
What is the formula to find the interior angle sum of any polygon?
S = (n-2)180
100

What is the name for the polygon with 5 sides?

Pentagon

200
What are complementary angles?
Angles that add up to 90 degrees.
200
Two interior angles in a triangle are 40 and 50 degrees. What is the third angle?
90 degrees
200
If triangle GHI has an exterior angle at G of 120 degrees, and an interior angle at H of 50 degrees, what is the interior angle at I?
70 degrees
200
How do I find the measure of one interior angle of any regular polygon?
Divide the interior angle sum by the number of sides.
200

What is the name of the polygon that has 10 sides?

Decagon

300
What are corresponding angles?
Angles that are on the same side of the transversal, are equal and are at the same spot.
300
The angles in triangle ABC are in the ratio 1:1:2. What are the angles?
45, 45, 90
300
If triangle JKL has an exterior angle at J of 150 degrees, and an interior angle at K of 20 degrees, what is the interior angle at L?
130 degrees
300
Find the interior angle sum of a regular octagon.
1080 degrees
300

What is the name of the polygon that has 14 sides?

14-gon

400
What are alternate interior angles?
Angles that are equal, are inside the parallel lines and are opposite each other.
400
Two interior angles in a triangle are 55 and 120 degrees. What is the third angle?
5 degrees
400
If triangle MNO has interior angles M=35 degrees and N=55 degrees, what is the exterior angle at O?
90 degrees
400
Find the measure of one interior angle in a regular 20-gon.
162 degrees
400

What is the name of the polygon that has 7 sides?

Heptagon

500
What are alternate exterior angles?
Angles that are outside the parallel lines, are equal and are opposite each other.
500

In triangle DEF, angle D is 40 degrees and angle E is (1/2 times 120) degrees. What is angle F?

80 degrees

500
If triangle PQR has interior angles P=64 degrees and Q=40 degrees, what is the exterior angle at R?
104 degrees
500
Find the interior angle sum of a regular 25-gon.
4140 degrees
500

What is the name of the polygon that has 9 sides?

Nonagon