Download Name: TP: ______ CRS PPF402: Exhibit knowledge of basic angle

Name: _________________________________________ TP: _______
CRS
Objective
CW#19: Find Interior/Exterior Angles
Geometry
PPF402: Exhibit knowledge of basic angle properties and special sums of angle measure.
PPF501: Use several angle properties to find an unknown angle measure.
3.7: Find the measure of the missing interior angle of a triangle.
3.8: Use exterior angle of a triangle to find missing interior angle.
3.9: Find the measure of the missing interior angle of a quadrilateral.
3.10: Find the measure of the missing interior angle of a circle.
Watch the Kahn Academy video: Sum of Interior Angles of a Polygon (until 3:46)
http://www.khanacademy.org/video/sum-of-interior-angles-of-a-polygon?playlist=Geometry
Directions: Pay close attention to the video so that you can answer the questions below!
1) How many non-overlapping triangles can be draw
2) If the sum of the interior angles of a triangle are
into the hexagon (6-sided figure)?
_____ degrees and there are ____ non-overlapping
triangles in a hexagon, then how could we find the
sum of the interior angles of the hexagon?
3) How many non-overlapping triangles can be draw
into the heptagon (7-sided figure)?
4) If the sum of the interior angles of a triangle are
_____ degrees and there are ____ non-overlapping
triangles in a heptagon, then how could we find the
sum of the interior angles of the heptagon?
5) How many non-overlapping triangles can be draw
into the octagon (8-sided figure)?
6) If the sum of the interior angles of a triangle are
_____ degrees and there are ____ non-overlapping
triangles in a octagon, then how could we find the
sum of the interior angles of the octagon?
7) Find a pattern between 1) the number of sides of a polygon, 2) the number of non-overlapping triangles
created within each polygon and 3) the sum of the interior angles of a polygon.
PUSH IT TO THE LIMIT.
The sum of the interior angles of a triangle is ______ degrees.
Example 1: Find the measure of the angle indicated.
1) Find the measure of the angle indicated.
Example 2: Solve for x:
2) Solve for x:
Example 3: Find the measure of angle A:
3) Find the measure of angle A:
Craziness! Find the measure of the angle indicated! So much fun!
Don’t forget your angle pair relationships!

Supplementary Angles: ____________________________________

Complementary Angles: ___________________________________
Vertical Angles: __________________________________________
Example 4: Solve for x:
4) Solve for x:
PUSH IT TO THE LIMIT.
Example 5: Find the measure of angle A:
5) Find the measure of angle A:
6)
7)
8)
9)
10
11)
PUSH IT TO THE LIMIT.
Interior Angles of a Quadrilateral
How many non-overlapping
triangles are inside this quadrilateral?
_____
What is the sum of the interior angles of a
quadrilateral? ______________________
Example 6: Find x.
12) Find x.
13) Find x.
14) Find the measure of the given angle:
15) Find the measure of the given angle:
16) Find the measure of the given angle:
PUSH IT TO THE LIMIT.
Exit Slip.
1) Find the measure of angle
W.
2) Find the measure of the given
angle:
A. 33 B. 73 C. 107 D. 147
Exit Slip w/Answers.
1) Find the measure of angle
W.
A.
2) Find the measure of the given angle:
33 B. 73 C. 107 D. 147
PUSH IT TO THE LIMIT.