Question

1. 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. see example 5

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent angles are supplementary (their sum is 180°).

Step2: Find the adjacent - angle relationship

The angle of 122° and the angle adjacent to ∠1 in the same parallelogram are equal (vertically - opposite angles). Let the angle adjacent to ∠1 be x. So x = 122°.

Step3: Calculate m∠1

Since x and ∠1 are adjacent angles in a parallelogram, m∠1+122° = 180°. Then m∠1=180° - 122° = 58°.

Answer:

58°