Math, asked by csheuli74, 11 months ago

find x,y,z in the given parallel gram ABCD .plss help me!​

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Answers

Answered by aj044461
4

x=25°y=45°,z=110.....hope you like the answer....

Answered by Cosmique
4

Given:-

  • ABCD is a parallelogram
  • ∠ DAC = 45°
  • ∠ CBE = 70°

To find:-

  • angles x , y , z

Solution:-

∵ ∠ DAE and ∠ CBE are corresponding angles

∴ ∠ DAE = ∠ CBE        = 70°

→  ∠DAE = ∠ DAC + ∠ CAE = 70°

→  45° + x = 70°

x = 25°

∵ ∠ DAC and ∠ ACB are Alternate interior angles

∴ ∠ DAC = ∠ ACB = 45°

so, → y = 45°

∵  ∠ ADC and ∠ DAB are co. interior angles

∴ ∠ ADC + ∠DAB = 180°

→ z + ∠ DAC + ∠ x  = 180°

→ z + 45° + 25° = 180°

→ z = 110°

   

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