Vocabulary
When angles have a sum of 90 degrees, they are called this.
Complementary Angles
This angle measure is the COMPLEMENT of 50 degrees.
What is 40 degrees.
For this section, draw 2 parallel lines cut by a transversal on a whiteboard/paper. Using a marker/tile,
SHOW 2 vertical angles.
Check with classmate or instructor.
Are the angles across from one another touching a vertex?
For these questions, it may help you to draw a picture of a triangle.
Given angles: 14 and 122, what is angle x?
x = 44 degrees
In this section, all polygons are REGULAR polygons with equal angle measures. S = 180 (n-2)
What is the sum of angles for a pentagon? (5 sides)
S = 180 (5-2)
S = 180 x 3
S = 540 degrees
When angles have a sum of 180 degrees, they are called this.
Supplementary Angles
This angle measure is the COMPLEMENT of 82 degrees.
What is 8 degrees.
For this section, draw 2 parallel lines cut by a transversal on a whiteboard/paper. Using a marker/tile,
SHOW 2 supplementary angles.
Check with a classmate/instructor.
Do they add up to 180 degrees and make a 'straight line'?
For these questions, it may help you to draw a picture of a triangle.
Given angles: 32 and a square in a corner, what is angle x?
x = 58 degrees
In this section, all polygons are REGULAR polygons with equal angle measures. S = 180 (n-2)
What is the measure of EACH angle in a pentagon? (5 sides)
What is 108 degrees.
S = 180 (n-2)
S = 180 (5-2)
S = 180 x 3
S = 540
Each angle is 540 divided by # of sides/angles.
So, each angle is 540/5 = 108 degrees
Parallel lines cut by a transversal give you this property. This is when two angles are across a vertex from one another and have the same angle measure, they are called this.
Vertically opposite Angles
This angle measure is the SUPPLEMENT of 120 degrees.
What is 60 degrees.
For this section, draw 2 parallel lines cut by a transversal on a whiteboard/paper. Using a marker/tile,
SHOW 2 Alternate Interior angles.
Check with a classmate/instructor.
Are they located INSIDE the parallel lines on opposite sides of the transversal?
For these questions, it may help you to draw a picture of a triangle.
Given angles: y, y, and y, what is y?
3y = 180, so y = 60 degrees
In this section, all polygons are REGULAR polygons with equal angle measures. S = 180 (n-2)
IF the SUM of the angles of a HEXAGON (6 sides) measure 720 degrees, what is EACH angle measure?
What is 120 degrees.
The sum, 720 degrees is the sum of all the angles inside a hexagon. A hexagon has 6 angles, so to find EACH angle, you need to divide 720 by 6 to get each angle measure. 720 /6 = 120 degrees.
Parallel lines cut by a transversal give you this property. This is when an angle is in the SAME location, but on a different parallel line, they are called this...
Corresponding Angles
Are these two angles complementary, supplementary, or neither?
<1 = 27 degrees
<2 = 63 degrees
What is Complementary. 27 + 63 = 90 degrees.
For this section, draw 2 parallel lines cut by a transversal on a whiteboard/paper. Using a marker/tile,
SHOW 2 Alternate Exterior angles.
Check with a classmate/instructor.
Are they OUTSIDE the parallel lines on opposite sides of the transversal?
For these questions, it may help you to draw a picture of a triangle.
Given angles:20 and 2x, what is x?
x = 80 degrees
In this section, all polygons are REGULAR polygons with equal angle measures. S = 180 (n-2)
Determine the SUM of the interior angles of a OCTAGON (8 sides).
S = 180 (n-2)
S = 180 (8 - 2)
S = 180 x 6
S = 1080 degrees
Parallel lines cut by a transversal give you this property. This is when two angles are on opposite sides of the transversal and INSIDE the parallel lines.
Alternate Angles.
Are these angles Complementary, Supplementary, or Neither?
<2 = 57 degrees
< 7 = 43 degrees
What is Neither. 57 + 43 = 100. To be complementary, you need to have a sum of 90. Supplementary has a sum of 180. Since the sum is 100, it is neither.
For this section, draw 2 parallel lines cut by a transversal on a whiteboard/paper. Using a marker/tile,
SHOW 2 CORRESPONDING angles.
Check with a classmate/instructor.
Are they the SAME angle, in the SAME location, but on a DIFFERENT parallel line?
For these questions, it may help you to draw a picture of a triangle.
Given angles: w, 2w, and 3w, what is w?
w = 30 degrees
If the sum of the interior angles is 180 degrees, what is the name of the polygon?
What is a TRIANGLE!