Statements
Statements
Reasons
Reasons
Theorems
Triangle Interior Angle Sum Theorem
Triangle Interior Angle Sum Theorem:
2
A) Find the m<A if the m<B=32 and m<C=45.
C
1
3
A
B
You’re Turn:
Triangle Exterior Angle Sum Theorem:
1
B) Find m<D if m<E=19 and m<F=72.
D
3
2
E
F
Triangle Sum Theorem
And
Exterior Angle Theorem
Application
Triangle Exterior Angle Sum Theorem
A
A) Find the measure of <A.
<A=6X-1
<B=5x+17
<C=126
A landscape artist was to draw a pair of mountains. He
wants to draw them as accurate as possible so he takes
some measurements and draws the picture above. Find
the values of X, Y and Z.
B
B
C
You’re turn:
B) Find the measure of <D, <E, <F, <G.
E
<D=90
<E=2X+1
<G=6X-9
Ff
D
G
F
Applications
1.
2.
3.
4.
5.
6.
Find the measures of each angle.
7. m1
8. m2
9. m3
10. m4
11. m5
12. m6
Exit Ticket
Instructions: With your face or shoulder partner, answer the question as if one is the boss
and one is the secretary. This means that only one person is talking and the other is writing
(if coaching is required, that both can be talking for a short time).
A (3X+9)
1) Find the measure of all the unknown angles.
Boss_____________________
Secretary__________________
B (X+2)
C (6X-1)
2) Find the measure of all of the unknown angles.
Boss___________________________
A (5x-1)
Secretary_______________________
B
23
C (9X+2)