Download 1. Name an exterior angle of triangle XYZ. 2. Name two remote

A
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Warm up:
1. Name an exterior angle of triangle XYZ.
X
6
1
W
2 3
F
42°
65°
4
D
3. Using the numbered angles shown, the Exterior Angle Theorem states that m 4 = ________________.
2. Name two remote interior angles of XYZ with respect to
the exterior angle named in Question 1.
H
3
C
4
Y
Z
2
B
5
4. If m 1 = 55 and m 2 = 63. Find the measure of ACD.
4x°
130°
(2x + 3)°
G
6. Find the value of x.
4. Find the value of x.
5. Using <, >, or =, write a relationship for m F and m G.
7. In DEF, m D = 70, m E = 45 and m F = 65. What is the longest side of the triangle?
1
10. List the side of JKL in order from greatest to least measure if m J = x + 8, m K = 3x + 2 and m L = x ­ 7.
8. Refer to LMN. List the angles in order from least to greatest.
L
13
12
N
16
M
11. Identify the longest side of ABC.
B
9. In isosceles triangle ABC, the measure of the the vertex angle A is 40. Identify the side of the triangle with the least measure.
A
12. Determine if the the three numbers can be the measures of the sides of a triangle.
a. 5, 7, 8
120°
C
D
13. If two sides of a triangle have the following measures, find the range of possible values for the third side.
a. 5 and 5
b. 14 and 21
b. 11, 12, 13
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