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Home > CC2S > Chapter 8 > Lesson 8.3.3 > Problem 8-90

8-90.

Calcula el valor de cada variable en las siguientes figuras. No utilices un transportador. Usa las propiedades de los ángulos para ayudarte.

  1. 3 rays have the same starting point, left ray is horizontal, right ray is vertical, middle ray slants up and left, with the gap between the rays, labeled as follows: left and middle, 37 degrees, middle and right, a.

    . Despeja a.

  1. 3 rays have the same starting point, left ray is horizontal, middle ray slants up and left, right ray is horizontal, with gap between rays, labeled as follows: left and middle, 85 degrees, middle and right, b.

    Estos ángulos son suplementarios.

  1. Two lines intersect at a point creating 4 angles about the point of intersection, with angles labeled as follows: Left, 47 degrees. Right, c.

    y c son ángulos opuestos por el vértice. ¿Qué te dice esto con respecto a la medida del ángulo c?

  1. 3 rays have the same starting point, left ray is horizontal, middle ray slants down and to the right, right ray is horizontal, with the gap between the rays labeled as follows: left and middle, 137 degrees, middle and right, d.

    Formula una ecuación que relacione y d. .

    Resta 137° de ambos lados.
    137° + d = 180°
    −137° −137°
    d = 43°

    43°

  1. 3 rays have the same starting point, left ray is vertical, middle ray slants to the right and up, right ray is horizontal, with gap between the rays, labeled as follows: left and middle, e, middle and right, 15 degrees.

    e y son ángulos complementarios, lo que significa que su suma es .

  1. Two lines intersect at a point, creating 4 angles, about the point of intersection, labeled as follows: top,153 degrees, right, I, bottom, f.

    f y son ángulos opuestos por el vértice y i y son suplementarios.

  1. 3 rays have the same starting point, left ray is down and to the left, middle ray is down and to the right, right ray is up and to the right in the same line as the left ray, with gaps between the rays, labeled as follows: left and middle, 115 degrees, middle and right, g.

    . Consulta en la parte (d) los pasos para resolver este problema.

  1. 3 rays have the same starting point, left ray is horizontal, middle ray goes up and to the left, right ray is horizontal, with gaps between the rays labeled as follows: left and middle, 95 degrees, middle and right, h.

    . Ahora resuelve el valor de h.

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