MJ31005984
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ANGLE A and B are supplementary. If m Ð A = (3x + 10)° and m ÐB = (11x – 12)°, what is X value, Measure Angle Ð B and Angle ÐA

Respuesta :

Answer:

m ∠A = 49°; m∠ B = 131°

Step-by-step explanation:

Supplementary angles sum = 180°

m ∠A + m ∠ D = 180°

(3x + 10)° + (11x - 12)° = 180°

 14x - 2 = 180°

  1 4x = 182

  x = 13°

m ∠A = (3x + 10) = (3· 13 + 10) = (39 + 10) = 49°

m ∠B = (11x - 12) = (11· 13 - 12)  = 143 -12 = 131 °

Check: m ∠ A + m ∠B = 49° + 131° =  180°

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