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In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees, and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.

 Feb 20, 2024
 #1
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Interior angle sum of ABC is 180 degrees, so p + 2q + 6p - 5q + 14p + 8q = 180

Combine like terms: 21p + 5q = 180. 

21p = 180 - 5q

p = (180 - 5q)/21

 Feb 20, 2024

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