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In triangle LMN, m∠L = (3c + 66)°. If the exterior angle to ∠L measures 72°, determine the value of c. c = 72 c = 46 c = 14 c = 2
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31 votes
31 votes
In triangle LMN, m∠L = (3c + 66)°. If the exterior angle to ∠L measures 72°, determine the value of c.

c = 72
c = 46
c = 14
c = 2

User Bored Astronaut
by
2.9k points

2 Answers

15 votes
15 votes

Answer:

c = 14

Explanation:

User ZakJ
by
3.0k points
14 votes
14 votes
c = 14
72 ° + (3c + 66 °) = 180 °
180 ° - 72 ° - 66 ° = 42 °
42 ° / 3c
14 ° = c
User Rougou
by
2.9k points
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