Question

plis ayuda es urgente

Plantear la ecuación y hallar los ángulos desconocidos.
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Answer 1

Respuesta:

a.

$\Rightarrow \alpha + \beta + \gamma = 180° \\ 6x + 14x + 10x = 180 \\ 30x = 180° \\ x = \frac{180°}{30} \\ \boxed{x = 6 ° }$

$\alpha = 6x \\ \alpha =( 6)(6) \Rightarrow \: \alpha = 36° \\ \\ \beta = 14x \\ \beta (14)(6)\Rightarrow \beta = 84° \\ \\ \gamma = 10x \\ \gamma = (10)(6)\Rightarrow \gamma = 60°$

c.

$\Rightarrow \alpha = \delta \\ 3x + 30° = x + 110° \\ 3 x - x = 110° - 30° \\ 2x = 80° \\ x = \frac{80°}{2} \\ \boxed {x = 40°}$

$\alpha = 3x + 30° \\ \alpha = 3(40°) + 30° \Rightarrow \alpha = 150° \\ \\ \delta = x + 110° \\ \delta= 40° + 110°\Rightarrow \delta = 150°$