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Sketch parallelogram `HIJK`. Label the measure of angle `H` `45^{o}`. (1 point)



b. Find the measure of angle `J`. Explain how you know. (2 points)



c. Find the measure of angle `K`. Explain how you know. (2 points)

Respuesta :

Answer:

m ∠J = 45°; m ∠K = 135°

Step-by-step explanation:

In a parallelogram the opposite angles are congruent and consecutive angles are supplementary.

m ∠H ≅ m ∠J    in a parallelogram opposite angles are congruent.

 45° = 45°

m ∠H and m ∠K are supplementary

m ∠H + m ∠K = 180°       Definition of supplementary

 45° + m ∠K = 180°

         m ∠K = 180 - 45

         m ∠K = 135°

Answer:

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Step-by-step explanation:

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