Question

three parallelograms are hinged at each vertex to create an arm that can extend and collapse for an exploratory spaceship robot. what is m∠1? explain how you found the answer. all of the angles along the center of the parallelograms in the arm are because they are either or angles of a parallelogram. by the ∠1 is to these angles, so m∠1 =. (do not include the degree symbol in your answer.)

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°). The 120 - degree angle shown and the angles along the center of the parallelograms are either opposite or adjacent. The angles along the center of the parallelograms are 120° because they are either opposite or adjacent to the given 120 - degree angle.

Step2: Use angle - relationship to find ∠1

∠1 is equal to these angles (by the property of corresponding or vertical angles, depending on the exact geometric relationship in the structure). Since the angles along the center are 120°, m∠1 = 120.

Answer:

120