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Serhud [2]
3 years ago
9

In the parallelogram, M

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:

  • 112°

Step-by-step explanation:

<u>Given parallelogram JKLM with:</u>

  • m∠KLO = 53°
  • m∠MLO = 59°

<u>Find:</u>

  • m∠KJM

<u>We know opposite angles of parallelogram are congruent:</u>

  • m∠KJM = m∠KLM

<u>Use angle addition postulate:</u>

  • m∠KLM = m∠KLO + m∠MLO
  • m∠KLM = 53° + 59°
  • m∠KLM = 112°
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Answer:

Problem B: x = 12; m<EFG = 48

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Step-by-step explanation:

Problem B.

Angles EFG and IFH are vertical angles, so they are congruent.

m<EFG = m<IFH

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Problem C.

One angle is marked a right angle, so its measure is 90 deg.

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Add these two measures together, and you get 120 deg.

<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.

Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.

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Step-by-step explanation:

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Learn more about Transformations at:

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