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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).

 Jun 3, 2023
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(p + 2q) + (6p - 8q) + (17p + 2q)=180, solve for p

 

From the above eqation we obtain:

 

p = (q + 45) / 6.      Try q=1, 2, 3..........etc.

 

The smallest q that balances the equation =3

 

p =(3 + 45) / 6 ==8 - the smallest value of p that balances the equation.

 Jun 4, 2023

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