Algebraic Equations with Interior Angles Exercise

Algebraic Equations with Interior Angles

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Algebraic Equations with Interior Angles

Solve algebraic equations to find unknown variables and interior angle measures in geometric figures.

Questions

  1. MultiChoice

    The interior angles of a triangle are x, 2x, and 3x. What is the value of x?

  2. MultiChoice

    The interior angles of a quadrilateral are x, x+10, x+20, and x+30. What is x?

  3. MultiChoice

    A pentagon has interior angles measuring x, 2x, 100°, 110°, and 120°. What is x?

  4. MultiChoice

    The four angles of a quadrilateral are 2x, 3x, 4x, and 3x. What is the largest angle?

  5. MultiChoice

    In a triangle, the angles measure (x + 10)°, (2x - 20)°, and (x + 30)°. What is x?

  6. MultiChoice

    The angles of a hexagon are all equal to (2x + 20)°. What is x?

  7. MultiChoice

    A quadrilateral has angles measuring x, 2x, 3x, and 4x. What is the smallest angle x?

  8. MultiChoice

    An isosceles triangle has base angles measuring x° each and a vertex angle of (x + 30)°. What is x?

  9. MultiChoice

    A regular octagon has interior angles given by the expression (5x - 15)°. What is x?

  10. MultiChoice

    In a pentagon, four angles measure 100° each. The fifth angle is x°. What is x?

  11. MultiChoice

    Three angles of a heptagon measure 120° each, and the other four angles measure x° each. What is x?

  12. MultiChoice

    The angles of a triangle are in the ratio 2 : 3 : 4. What is the measure of the middle angle?