Theorems
Transversals
Triangles
Interior angle measures of polygons.
Challenge
100

How many total angles can be in a Parallel cut by a transversal?

What is 8

100
(see board) If angle 1 is 150, what is angle 5 and why?
What is 150 because they are Alt. Ext. Angles
100
Given a triangle, you are given angle measures of 90, x, and 2x. List ALL the interior angles.
What is 90, 30, and 60
100
What is the interior angle sum of a hexagon?
What is 720
100

What is the total angle value of a triangle plus a pentagon

What is 720 Degrees

200

What is the minimum amount of angles needed to be a polygon?

What is 3

200
(See board) If angle 1=36, what is angle 4 and why?
What is 36 because they're vertical.
200
Given a triangle, there are angle measures of 30, 90, and X. Solve X.
What is 60
200
What is the sum of the interior angle measures of a triangle?
What is 180
200

What is the total angle of a 6 sided polygon minus to total angle of a 4 sided polygon

What is 360 Degrees

300
The sum of 2 opposite interior angles in a triangle are equal to what?
What is the exterior angle.
300
(see board) If angle 1=70 what is angle 2 and why?
What is 110 because 1 and 2 are supplementary.
300
Given a triangle with angle measures of x, x, and x, List ALL the interior angles.
What is 60, 60, 60
300
What is the sum of the interior angle measures of a 12 sided figure?
What is 1800
300

What do all the letters of PVA's CLIMB stand for?

C - Collaborate L - Lead I - Integrity M - Mindful B - Beyond Barriers

400
What is the sum of the interior angles of a triangle?
What is 180
400
(see board) If angle 3 is 40, what is angle 6 and why?
What is 40 because Alt. Int. Angles.
400
Given a triangle with two interior angle measures of 90 and 38, What is the measure of the opposite Exterior angle?
What is 128
400
You are given a regular (perfect) octogon. What are the interior angle measures?
What is 135
400

What is the total angle of a 24 sided polygon plus a 12 sided polygon.

What is 5760 Degrees

500

What is the general theorem for the sum of the interior angles of a polygon?

What is S=(n-2)180

500
(see board) If angle 3= 10, what is angle 7 and why?
What is 170 because 3 and 4 are supplementary Adj, and 4 and 7 are Alt. Int. (there are others)
500
Given a triangle, the two opposite interior angles are (a+10) and 44. The exterior angle measure is 2a. What is the exterior angle?
What is 108.
500
You are given a 4 sided figure with interior angle measures of 90, x, 115, and 80. List all the interior angle measures.
What is 90, 115, 80, 75
500

What is the total angle value of a triangle plus a triangle plus a pentagon minus a quadrilateral plus a triangle

(Triangle + Triangle + Pentagon)-(Quadrilateral + Triangle)

What is 360 Degrees

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