Question

Sean A y B dos ángulos complementarios, donde A=(x+11) y B=2(x-1). Encuentra la medida del angulo B.

Answer 1

$A = x + 11 \\ B = 2(x - 1)\\ \\ A + B = 90 \\x + 11 + 2(x - 2) = 90 \\ x + 11 + 2x - 2 = 90 \\ 3x + 9 = 90 \\ 3x = 90 - 9 \\ 3x = 81 \\ x = \frac{81}{3} \\ x = 27 \\ \\ A = x + 11 \\ A = 27 + 11 \\ A = 38 \\ \\ B = 2(x - 1) \\ B = 2(27 - 1) \\ B = 2(26) \\ B = 52 \\ \\ 38+ 52 = 90$