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Nataly_w
2 months ago
11

In the following diagram \overline{DE} \parallel \overline{FG}

Mathematics
1 answer:
zzz [12.3K]2 months ago
7 0

Answer:

<x = 31°

Detailed explanation:

El ángulo m<BCA es igual a m<GCJ (ángulos verticales).

m<BCA es de 59° (sustitución).

Dado que la línea KL es perpendicular a la línea FG, el ángulo en el punto B es de 90°.

Por lo tanto, m<ABC = 90°.

La suma de los ángulos m<BAC, m<ABC y m<BCA es igual a 180° (suma de un triángulo).

m<BAC + 90° + 59° = 180° (sustitución).

m<BAC + 149° = 180°.

Resolviendo para m<BAC obtenemos 180° - 149°.

Al final, m<BAC = 31°.

<x = <BAC (ángulos verticales).

Por lo tanto, m<x = 31° (sustitución).

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