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Answer the parallelogram​

Answer The Parallelogram class=

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AGBOIIGO

ANSWER

ROMAN NUMERAL I

  1. HT
  2. THA
  3. TS
  4. TMA
  5. AMH
  6. 100°
  7. 80°
  8. 7
  9. 6
  10. 4.5

ROMAN NUMERAL II

  1. 124°
  2. The value of x is 4
  3. 16cm
  4. 116
  5. 56°

EXPLANATION

  • In part I - just remember the properties of a parallelogram which the opposite sides are equal , The sum of two adjacent angles or consecutive angles are 180°.

SOLUTION IN II

  1. <PSR is adjacent to <QRS , thus their sum is 180°. <PSR + 56 = 180 , <PSR = 180 - 56 , <PSR = 124°
  2. Side SR and PQ are equal thus ,16 = 3x+4 , 16 - 4 = 3x , 12 = 3x , 4 = x
  3. We know that SR and PQ are equal thus, SR is 16cm
  4. <SPQ = <QRS , (y-60) = 56 , y = 56+60 , y=116°
  5. We know that <SPQ and <QRS are equal thus , <SPQ is 56°

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