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

Refer to the given figure. Use the Exterior Angle Inequality Theorem to complete each statement. Choose your answer.

1. If b=50° and c=20°, then d __________.
<105°
>105°
=90°
>50°
<90°
=130°
Answer: > 50 °
2. If a=90° and c=20°, then d __________.
<105°
>105°
=90°
>50°
<90°
=130°
Answer: = 90 °
3. If b=52° and c=78°, then d __________.
<105°
>105°
=90°
>50°
<90°
=130°
Answer: = 130 °
4. If a=90°, then b __________.
<105°
>105°
=90°
>50°
<90°
=130°
Answer: < 90 °
5. If d=105°, then c __________.
<105°
>105°
=90°
>50°
<90°
=130°
Answer: < 105 °
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