Algebraic Equations with Exterior Angles Exercise

Algebraic Equations with Exterior Angles

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Algebraic Equations with Exterior Angles

Set up and solve algebraic equations involving exterior angles to determine unknown values.

Questions

  1. MultiChoice

    The exterior angles of a triangle are x, 2x, and 3x. What is x?

  2. MultiChoice

    The exterior angles of a quadrilateral are x, x+20, x+40, and x+60. What is x?

  3. MultiChoice

    Four exterior angles of a pentagon are 60°, 70°, 80°, and 90°. The fifth exterior angle is x. What is x?

  4. MultiChoice

    The exterior angles of a regular n-gon are each equal to (x + 10)°. If n = 6, what is x?

  5. MultiChoice

    The exterior angles of a triangle are in the ratio 1 : 2 : 3. What is the largest exterior angle?

  6. MultiChoice

    If the exterior angles of a quadrilateral are 2x, 3x, 2x, and 3x, what is x?

  7. MultiChoice

    Five exterior angles of a hexagon are each 55°. What is the measure of the sixth exterior angle?

  8. MultiChoice

    An exterior angle of a regular polygon is given by (3x - 12)°. If it is an octagon, what is x?

  9. MultiChoice

    If the exterior angles of a pentagon are x, x, x, x, and 2x, what is x?

  10. MultiChoice

    The exterior angles of a triangle measure (2x + 10)°, (3x - 20)°, and (x + 70)°. What is x?

  11. MultiChoice

    If each exterior angle of a regular polygon is (4x)° and x = 10, how many sides does the polygon have?

  12. MultiChoice

    If an exterior angle is x° and the interior angle is (2x + 30)°, what is x?