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Answer»

Answer:

∠A = 80°,  ∠B = 40° and ∠C = 60°

Step-by-step explanation:

GIVEN,

∠A = 2 ∠B           ----------> (i)

2 ∠C = 3 ∠B        ----------> (II)

∠A+∠B+∠C = 180°              (Property of triangle)

ADDING (i) and (ii),

∠A + 3 ∠B = 2 ∠B + 2 ∠C

∠A + ∠B = 2∠C

∠A + ∠B = 180° - ∠C

180° - ∠C = 2∠C

3∠C = 180°

∠C = 60°

2 × 60° = 3 ∠B

∠B = 40°

∠A = 2 × 40°

∠A = 80°



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