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The answer given in book is Angle A =15°​

Answer 1

Answer:

∠A=15°

Step-by-step explanation:

$= > given \: 8∠A = 3∠B \\ = > ∠A = \frac{3∠B}{8} \\ = > and \: 25∠B = 8∠C \\ = >∠C = \frac{25∠B}{8} \\ = > ∠A + ∠B + ∠C = 180 \\ = > \frac{3∠B}{8} + ∠B + \frac{25∠B}{8} = 180 \\ = > \frac{3∠B +∠B+25∠B}{8} = 180 \\ = > 36∠B = 1440 \\ = > ∠B = 40 \\ = >therefore \: ∠A = \frac{3 \times 40}{8} \\ = > ∠A = 15°$

Hope you get it