2024-2025 Sum of Angles of Triangle

Use the graphic to discover the sum of the angles of a triangle. [br][br]Make three different triangles and record the angles on your paper. [br][br]After you make three different triangles and record their angles on your paper, complete questions 1-5.
Now that you have looked at the diagrams, it is time to answer Questions 1-5
Do your best to answer the questions using your observations. [br]
ACTUAL NOTES!!! Fill in the blanks at the bottom of the page
When a line is continued through a triangle, the [b]ANGLE [/b]on the outside of the triangle is called an [b]EXTERIOR ANGLE. [/b]
Notes! Fill in the blank! ANOTHER ONE DO NOT MISS IT
The exterior angle is [b]EQUAL[/b] to the [b]SUM[/b] of the two non-adjacent [b]INTERIOR [/b]angles. [br][br]Below is another view of how these angles and the exterior angle are related.
BIG TAKE AWAYS
[b]You may write these anywhere on your notes if you find them helpful. [br][br]1st [/b]- [b]All the angles in a triangle add to 180 degrees.[/b] (In the picture: 30 + 70 + 80 = 180)[br][br][b]2nd[/b] - A linear pair adds to 180 degrees.[br] If an angle is in a triangle and sitting on a straight line it can become a linear pair with the exterior angle. (In the picture: x and 80 degrees) [br][br]So if 80 is one of the angles and it should equal 180 with its exterior angle, then the exterior angle is 100 (so 180 - 80 = 100). [br][br]Guess what! The two other angles in that triangle are 70 and 30! Well 70 + 30 = 100 also![br][br][b]THUS, the exterior angle should equal the sum of the other two angles in the triangle![/b]
– Anthony DiLaura, Rachel Vieira, Jill Casey, Tim Brzezinski, Addison Bean, Andy Talmadge

Information: 2024-2025 Sum of Angles of Triangle