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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.

 Apr 10, 2024
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In a triangle, the sum of the angles is always 180 degrees. So, we can set up the following equation:

A+B+C=180

Substituting the given expressions for A, B, and C, we get:

(p+2q)+(6p−5q)+(14p+8q)=180

Simplifying, we get:

21p+5q=180

Solving for p, we find:

p=(180−5q)/21​

So, p in terms of q is (180−5q)/21​ degrees.

 Apr 10, 2024

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