Question

∠a = 8x + 78° ∠b = 2x + 114°

Explanation:

Step1: Identificar ángulos suplementarios

$\angle A+\angle B = 180^{\circ}$

Step2: Sustituir valores

$8x + 78+2x + 114=180$

Step3: Simplificar la ecuación

$10x+192 = 180$
$10x=180 - 192$
$10x=-12$
$x = - 1.2$

Step4: Calcular $\angle A$

$\angle A=8x + 78$
Sustituir $x=-1.2$:
$\angle A=8\times(-1.2)+78$
$\angle A=-9.6 + 78$
$\angle A = 68.4^{\circ}$

Step5: Calcular $\angle B$

$\angle B=2x + 114$
Sustituir $x = - 1.2$:
$\angle B=2\times(-1.2)+114$
$\angle B=-2.4+114$
$\angle B = 111.6^{\circ}$

Answer:

$x=-1.2$, $\angle A = 68.4^{\circ}$, $\angle B = 111.6^{\circ}$