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

asked Nov 10, 2023 8.1k views

1 vote

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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3 votes

Answer:

c = 14

Explanation:

Kulak answered Nov 11, 2023

by Kulak

5.4k points

7 votes

c = 14
72 ° + (3c + 66 °) = 180 °
180 ° - 72 ° - 66 ° = 42 °
42 ° / 3c
14 ° = c

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