Question

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Answer 1

Respuesta:

$\alpha = 25 °$

$\beta = 12°$

Explicación paso a paso:

$\alpha + 3 \beta + 119 = 180$

$\alpha = 180 - 119 - 3 \beta$

$\alpha = 61 - 3 \beta$

• Sustituimos y hallamos el valor de "beta"

$3 \alpha + 4 \beta + 57 = 180$

$3(61 - 3 \beta ) + 4 \beta + 57= 180$

$183 - 9 \beta +57 = 180$

$240 - 5 \beta = 180$

$- 5 \beta = 180 - 240$

$- 5 \beta = - 60$

$5 \beta = 60$

$\beta = 12$

• Sustituimos y hallamos el valor de "alfa"

$\alpha + 3 \beta + 119 = 180$

$\alpha + 3(12) = 180 - 119$

$\alpha + 36 = 61$

$\alpha = 61 - 36$

$\alpha = 25$