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Home > INT2 > Chapter 7 > Lesson 7.2.2 > Problem 7-94

7-94.

For each polygon below, use the geometric relationships to solve for the given variable(s). Show all work. Name the geometric relationships you used.

  1. A triangle with three labeled interior angles: top angle is 4 X + 28 degrees, lower left angle is X + 19 degrees, and lower right angle is 3 X + 13 degrees.

     

    (Be sure to name the geometric relationship(s) you used.

  1. A triangle with side lengths 6, K + 3 and 3 K + 18.

     

  1. A parallelogram with three labeled angles: upper left angle is 4, T + 13 degrees, lower left angle is W, and lower right angle is 8, T minus 23 degrees.

    This is a parallelogram. What do you know about the opposite angles of a parallogram?

  1. A triangle with side lengths 43 on left side, 43 on bottom side, X on right side. 71 degrees angle is in between the 43 sides.

    Use the tangent ratio to write an equation and solve for half of .

    Triangle, with dashed segment, from top vertex, perpendicular to bottom side, labeled as follows: Left side, 43, right side, 43, bottom side, x, top angle, 71 degrees.

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