
Triangle Interior and Exterior Angles
Presentation
•
Mathematics
•
10th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 5 Questions
1
Exterior angles of a triangle day 2
2
Interior angles are on the inside of the triangle.
Exterior angles are on the outside of the triangle attached to a vertex.
3
Refresher:
The interior angles of a triangle add up to 1800
The exterior angle of a triangle is the sum of the 2 interior angles that are not next to it.
4
Multiple Choice
How do we solve for x?
50 + 70 + a = 180
70 - 50 = a
70 - 50 + 180 = a
5
Multiple Choice
On the last slide, we created the equation 50 + 70 + a = 180.
Now solve for x
x = 120
x = 20
x = 60
6
Exterior angles
Remember there are 2 exterior angles at each vertex.
7
Exterior angle
We add the 2 interior angles that are NOT next to the exterior angle to find the exterior angle
8
Multiple Choice
Set up the equation to find the exterior angle.
75 + 36 + x = 180
75 + 36 = x
75 - 36 - x
9
Fill in the Blanks
On the last slide we determined that 75 + 36 = x.
Now solve for x.
Type answer...
10
Exterior angles
Sometimes we have the exterior angle and we need to find the missing interior angle.
To do this, we SUBTRACT the interior angle from the exterior. We can do this because
x + 80 = 145
11
Multiple Choice
Solve for x
x = 65
x = 225
x = 100
12
Exterior angles
If algebra is involved, we MUST write an equation to solve.
The equation will be:
(5y + 3) + (4y + 8) = 146
(we add the 2 interior angles and the sum will equal the exterior angle)
Exterior angles of a triangle day 2
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