Exterior
and Interior
Angles
Activity 1:
Measure
and Record
Exterior Angles of a Polygon:
-formed when a side of a
polygon is extended outward.
The sum of all exterior angles in
any polygon is always 360
degrees.
Adjacent Interior Angles
-angles inside the polygon that
share a common side. The sum
of adjacent interior angles in a
polygon is always 180 degrees.
Activity 2:
Who Am I?
Identify the term being asked.
1. I am an angle formed outside a polygon,
who am I?
2. I am an angle inside a polygon, who am I?
3. I am the term used to describe the two
angles with a common side and a common
vertex, who am I?
4. I am a measuring device used to measure
an angle, who am I?
5. I am formed by two angles that have a
common side, and a common vertex and
form a line, who am I?
Protractor
Angle
Supplementary
Complementary
Interior angles
Exterior angles
Polygon
Linear pair
adjacent angles
sum
6. We are angles whose sum is 180°, who
are we?
7. We are angles whose sum is 90°, who
are we?
8. I am another term used for total, who
am I?
9. I am a closed figure made up of line
segments in a two-dimensional plane,
who am I?
10. I am a figure formed by two rays
with a common vertex, who am I?
Protractor
Angle
Supplementary
Complementary
Interior angles
Exterior angles
Polygon
Linear pair
adjacent angles
sum
For example, if the exterior
angle of a polygon measures
100 degrees, then the adjacent
interior angle will measure 80
degrees because 100 + 80 = 180
degrees, making them
supplementary angles.
Think about a door swinging open -
the angle formed on the inside
(interior angle) and the angle
formed on the outside (exterior
angle). This real-life example can
help you remember the relationship
between exterior and interior angles.
Remember, exterior angles and
adjacent interior angles are
supplementary, meaning they add
up to 180 degrees. This is also known
as the Exterior Angle Theorem (EAT).
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx
Grade 7 PowerPoint presentation Quarter_Week3.pptx

Grade 7 PowerPoint presentation Quarter_Week3.pptx

  • 6.
  • 8.
  • 9.
    Exterior Angles ofa Polygon: -formed when a side of a polygon is extended outward. The sum of all exterior angles in any polygon is always 360 degrees.
  • 10.
    Adjacent Interior Angles -anglesinside the polygon that share a common side. The sum of adjacent interior angles in a polygon is always 180 degrees.
  • 12.
  • 13.
    Identify the termbeing asked. 1. I am an angle formed outside a polygon, who am I? 2. I am an angle inside a polygon, who am I? 3. I am the term used to describe the two angles with a common side and a common vertex, who am I? 4. I am a measuring device used to measure an angle, who am I? 5. I am formed by two angles that have a common side, and a common vertex and form a line, who am I? Protractor Angle Supplementary Complementary Interior angles Exterior angles Polygon Linear pair adjacent angles sum
  • 14.
    6. We areangles whose sum is 180°, who are we? 7. We are angles whose sum is 90°, who are we? 8. I am another term used for total, who am I? 9. I am a closed figure made up of line segments in a two-dimensional plane, who am I? 10. I am a figure formed by two rays with a common vertex, who am I? Protractor Angle Supplementary Complementary Interior angles Exterior angles Polygon Linear pair adjacent angles sum
  • 15.
    For example, ifthe exterior angle of a polygon measures 100 degrees, then the adjacent interior angle will measure 80 degrees because 100 + 80 = 180 degrees, making them supplementary angles.
  • 16.
    Think about adoor swinging open - the angle formed on the inside (interior angle) and the angle formed on the outside (exterior angle). This real-life example can help you remember the relationship between exterior and interior angles.
  • 17.
    Remember, exterior anglesand adjacent interior angles are supplementary, meaning they add up to 180 degrees. This is also known as the Exterior Angle Theorem (EAT).

Editor's Notes

  • #5  Name the polygon and tell the number of sides. Why is number 1 in the previous activity called pentagon? Can you name some other type of polygon you know?
  • #7 Using what you know about the words (definition/meaning) “interior” and “exterior”, write whether the following angles (symbol: ∠) from the figure are interior or exterior.
  • #9 Remember, exterior angles are crucial in understanding the properties of polygons.
  • #10 This concept helps us analyze the relationships between angles within a polygon
  • #11 Complete the list of exterior angles and pair each one with its adjacent interior angle by placing a heart between them. Exterior Angle ♥ Adjacent Interior Angle
  • #13  Exterior Angles Interior Angles Adjacent Angles Protractor Linear Pair
  • #14  Supplementary Angles Complementary Angles Sum Polygon Angle