Transcript 3.5 – Triangle Sum Theorem

Just for fun…
do these
(on the back of your warm up)
1.
1 2 3
2.
4
5
3.
Name 2 pair of alternate interior angles
<5 & <3
and
<4 & <1
What is the sum of m<1 + m<2 + m<3?
180°
If m<4 = 65° and m<5 = 50°, what is m<2?
65°
90°
50°
130°
50°
40°
40° 50°
90°
40°
4.
Find all the angle measures
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3.5
Triangle Sum Theorem
&
Exterior Angle Theorem
Triangle Sum Theorem
The sum of the angle measures in a triangle
equal 180°
1
3
2
m<1 + m<2 + m<3 = 180°
Exterior Angle Theorem
(your new best friend)
The measure of an exterior angle in a
triangle is the sum of the measures of
the 2 remote interior angles
remote
interior
angles
exterior
angle
2
1
3
m<4 = m<1 + m<2
4
an example with numbers
find x & y
82°
x = 68°
30°
x
y
30x
40x
y = 112°
find all the angle measures
10x2
80°, 60°, 40°
Do you hear the
sirens?????
White boards
Please get, or have someone get for you;
whiteboard
marker
eraser
Finish
the
assignment
On the same paper as 5-20,
Please do 21-37 on page 174