Math/Algebra?

In triangle ABC, the size of angle B is 3 times the size of angle A and the size of angle C is 8° less than six times the size of angle A. Find the size of the angles.

The size of angle A is ____°

The size of angle B is ____°

The size of angle C is ____°

3 Answers

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  • 4 weeks ago

    Let  ∠ A  = x°,  Then --

    ∠ B = 3 x°,   ∠ C = ( 6 x - 8 )°

    Now sum of all the three Interior Angles  =  180°  ............. (Theorem)

    => ∠ A  +  ∠ B  +  ∠ C   =   180°

    ......  |   .   .    | .    .     |

    =>   x    + (3 x) +  ( 6x-8) =  180°

    =>  10 x - 8   =   180°

    =>   10 x  =  188°

    => x  =  18.8

    Hence --

    =============================================================

    ∠ A = x° =  18.8°  ,  ∠ B = 3 x° =  56.4°  and  ∠ C =  ( 6x-8) =  104.8° -- Answer

    ==============================================================

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  • 4 weeks ago

     In triangle ABC, the size of ∠B is 3 times the size of ∠A 

     and the size of ∠C is 8° less than 6 times the size of ∠A. 

     Find the size of the angles.  

     The size of ∠A is 18.8° 

     The size of ∠B is 56.4° 

     The size of ∠C is 104.8°

  • Ash
    Lv 7
    4 weeks ago

    ∠B = 3∠A

    ∠C = 6∠A - 8°

    ∠A + ∠B  + ∠C = 180°

    ∠A + 3∠A + 6∠A - 8° = 180°

    10∠A = 188°

    ∠A = 18.8°

    ∠B = 3*18.8° = 56.4°

    ∠C = 6*18.8° - 8° = 104.8°

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