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NAME
DATE
5-3
PERIOD
Skills Practice
Inequalities in One Triangle
Use the Exterior Angle Inequality Theorem to list all of the
angles that satisfy the stated condition.
1. measures less than m∠1
2 4 7
∠2, ∠3, ∠4, ∠5, ∠7, ∠8
1
2. measures less than m∠9
3
5 6
8
9
∠2, ∠4, ∠6, ∠7
3. measures greater than m∠5
∠1, ∠3
4. measures greater than m∠8
∠1, ∠3, ∠5
List the angles and sides of each triangle in order from smallest to largest.
6. ,
5. 3
.
24°
6
2
98°
2
5
-
−− −− −−
∠Q, ∠R, ∠S, RP, PQ, RQ
7.
−− −− −−
∠K, ∠M, ∠L, ML, KL, KM
8.
)
9
39
16
9
:
'
38
(
15
34
;
−− −− −−
∠F, ∠H, ∠G, HG, FG, FH
9. #
−− −− −−
∠X, ∠Y, ∠Z, YZ, XZ, XY
10.
5
98°
42°
4
"
43°
$
6
−− −− −−
∠S, ∠U, ∠T, UT, ST, SU
−− −− −−
∠A, ∠B, ∠C, BC, AC, AB
Chapter 5
19
Glencoe Geometry
Lesson 5-3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1