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Triangle Relations and Inequalities 3
A
B
C
D
Result
. . . .

Type the letter of the correct statement or reason to complete each two-column proof.

Prove: m∠DEF>m∠A.

Choices:
a. Exterior Angle Theorem
b. Commutative Property of Addition
c. Whole-Part Inequality
d. Substitution Property of Equality
e. m∠DEF
f. m∠BGA+m∠A
g. m∠C+m∠FCB
h. m∠B+m∠BGA

Proof:
Statements Reasons
1.
m∠DEF
=m∠C+m∠FBC
1.
2.
m∠FBC=
2. Exterior Angle Theorem
3.
=m∠C+m∠BGA +m∠A
3.
4.
m∠DEF>m∠A
4.
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