In ΔABC, m ∠ A = ( 3 x + 1 ) ∘ m∠A=(3x+1) ∘ , m ∠ B = ( x + 14 ) ∘ m∠B=(x+14) ∘ , and m ∠ C = ( 4 x + 5 ) ∘ m∠C=(4x+5) ∘ . What is the value of x ? x?

Respuesta :

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 1 + x + 14 + 4x + 5 = 180, that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20