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In triangle $ABC,$ $\angle A = p + 2q$ degrees, $\angle B = 6p - 8q$ degrees, and $\angle C = 17p + 2q$ degrees. Find $p$ (in degrees).

 May 27, 2023
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The sum of the angles in a triangle sum to 180 degrees.

So, we have 
p + 2q + 6p - 8q + 17p + 2q = 180
24p - 4q = 180

6p - q = 180
 

P can equal many numbers, assuming you want integers

 May 27, 2023

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