Parallelograms

Question 1

Manuela is making a banner for a school dance. She makes one angle 116°. What should she make the measures of angles B and D so that the banner is a parallelogram?

Revolt · Accepted Answer

64°

Question 2

By the definition of a ▱, AD∥BC and AB∥DC.

Revolt · Accepted Answer

Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transve: D; Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transve: supplementary; Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transve: BC; Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠.: D

Question 3

complementaryX congruent✔ supplementary

Revolt · Accepted Answer

✔ supplementary

Question 4

AB✔ BCX CDDA

Revolt · Accepted Answer

✔ BC

Question 5

AX BC✔ D

Revolt · Accepted Answer

✔ D

Question 6

Devin started the work shown to solve for the unknown angle measures.

Revolt · Accepted Answer

87

Parallelograms Answers

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