CPM Homework Banner

Home > CCG > Chapter 5 > Lesson 5.3.5 > Problem 5-133

5-133.

Examine trapezoid below. Homework Help ✎
trapezoid

  1. Find the measures of all the angles in the diagram.

    The corresponding angles are equal.

    Since line line , then corresponding angles .
    So , mark it on your diagram.
    While line line , then corresponding angles .
    So , mark it on your diagram.

    Use the Triangle Angle Sum Theorem.

    Now you know two angles in and , knowing that one angle is and Calculate the third angle using the equation : So the missing angle is . Mark it in your diagram.

    The angles at E form a straight angle, which is .

    Since and then .
    Solve for , mark it on your diagram. .

    The alternate interior angles are equal.

    Since and , then and  because alternate angles are equal. Mark the angles on your diagram.

  2. What is the sum of the angles that make up the trapezoid ? That is, what is ?


    Note: Do not add in the angles at .