Question

for safety and strength, the supports of a set of scissor steps form parallelograms. what should the measure of ∠1 be to allow a dog to climb safely into its owners car? the angles at the top right of the parallelograms in the arm are because they are by the ∠1 is to these angles, so m∠1 = . (do not include the degree symbol in your answer.)

Explanation:

Step1: Recall property of parallelogram angles

In a parallelogram, opposite angles are congruent and adjacent angles are supplementary. Since we are likely dealing with adjacent - like angles at the top right of the parallelogram - they are supplementary.

Step2: Use angle - relationship to find measure of ∠1

If we assume the known angle and ∠1 are supplementary, and if the known angle is say \(x\), then \(m\angle1 = 180 - x\). But since no other angle measure is given in the problem description, if we assume a standard situation where we are comparing corresponding or congruent angles, and we know that corresponding angles in congruent parallelograms (formed by the scissor - step supports) are congruent.

Answer:

congruent; corresponding angles postulate; congruent; the measure of the corresponding angle (not given in the problem)