Question

Plllz solve these questions

Answer 1

Given :   ∠A  +  ∠B  = 125°  , ∠A  +  ∠C  = 113°

To find : ∠A  ,  ∠B  , ∠C

Solution:

∠A  +  ∠B  = 125°

∠A  +  ∠C  = 113°

Adding both

∠A  +  ∠B  + ∠A  +  ∠C   = 125° +  113°

=> ∠A  + ( ∠A  + ∠B  +    ∠C )  = 238°

Sum of angles of a triangle = 180°

=> ∠A  +  180° = 238°  

=> ∠A   = 58°

∠A  +  ∠B  = 125°  => 58° +  ∠B  = 125°   => ∠B = 67°

∠A  +  ∠C  = 113°  => 58° +  ∠C  = 113°   => ∠C =  55°

∠A   = 58°  , ∠B = 67° , ∠C =  55°

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