2016-12-13 remote interior angle thm .notebook

2016­12­13 remote interior angle thm .notebook
December 13, 2016
Today Is Tuesday Dec. 13
Do Now:
- Take out homework
- Grab a calculator
- Write down tonight's homework
-Exterior Angle Theorem W.S.
**Triangle Quiz Friday**
Warm Up
Directions: Find the missing angles.
4x
(x + 15) 0
2x
x
300
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Homework Answers
Front
2) x = 89
3) x = 51
4) x = 96
5) x = 30
6) x = 129
7) x = 108
8) x = 15
Back 9) x = 59
10) x = 78
11) x = 74
12) x = 60
13) x = 63
14) x = 118
15) x = 20
16) x = 75
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Today's Objective :
Exterior Angle Theorem
The angles inside a triangle are called
interior angles. When the sides of the
triangle are extended, the angles formed
outside are called exterior angles.
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Vocabulary
Exterior Angle: Angle formed by one side of a
triangle and the extension of an adjacent side.
Remote Interior Angle: Interior angles not
adjacent to an exterior angle
Remote Interior Angles
Ext
eri
or
An
gle
What do you know about the number of degrees in a triangle?
1
2
3 4
What do you know about the sum of angles 3 and 4?
Think, Pair, Share
How can angles 1 and 2 relate to angle 4?
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Exterior Angle Theorem: The sum of the two
remote interior angles equal the exterior angle.
Remote Interior + Remote Interior = Exterior Angle
35
30
Directions: Find the missing angle.
320
450
x
Equation:
x
550
Equation:
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Directions: Find the missing angle.
660
x
410
x
1360
1130
Equation:
Equation:
Directions: Find the missing angle.
x
800
500
250
120
0
x
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Find the measure of the exterior angle.
80
(a - 5)
(2a)
Solve for n and find the angle measures.
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Exit Ticket
Directions: Complete the following questions
and hand in your sheet as you leave today.
Make sure you put your name on the sheet!
2016­12­13 remote interior angle thm .notebook
December 13, 2016
Exit Ticket
Circle the Remote Interior Angles in this diagram.
Put a box around the Exterior Angle in this diagram.
1600
200
1000
600
Find the missing angle.
210
x
620