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 ∠1 is to these angles, so m∠1 = (do not include the degree symbol in your answer.) because they are either or angles of a parallelogram.

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, adjacent angles are supplementary (add up to 180°) and opposite angles are equal.

Step2: Identify the relationship of ∠1

Assume the angle adjacent to the 130° angle in the parallelogram is ∠1. Since adjacent angles in a parallelogram are supplementary, if one angle is 130°, then ∠1=180 - 130.

Step3: Calculate the measure of ∠1

180−130 = 50.

Answer:

50