Download Name WORKSHEET #10 I will be able to use the Triangle Exterior

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Transcript
Name _______________________
WORKSHEET #10
Upward Bound Summer 2011: Geometry
OBJECTIVE:
I will be able to use the Triangle Exterior Angle Theorem to solve problems.
NEW CONCEPT:
New Vocabulary → exterior angle, remote interior angles
4
3
3
2
4
1
3
4
1
5
2
1
2
5
Exterior angle:
Exterior angle:
Exterior angle:
Remote interior angles:
Remote interior angles:
Remote interior angles:
The Triangle Exterior Angle Theorem:
NOTES AND EXAMPLES:
Example 1: In each triangle, find
.
a)
b)
Example 2: Find
c)
Example 3: Find
and
Example 4: Solve for x and find the measure of all missing angles.
More Practice: In each triangle below, solve for x and find the measures of all missing angles.
1)
2)
3)
4)