hartnn
  • hartnn
@banumati234 Prove that the vertically opposite angles of 2 intersecting lines are equal.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Using what assumptions?
hartnn
  • hartnn
this was @banumati234 's question, she could not post it. let here come here
hartnn
  • hartnn
ok, you know what are supplementary angles ?

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anonymous
  • anonymous
yes.when the sum of 2 angles =180 degree,then the angles are supplementary
hartnn
  • hartnn
good, so, |dw:1378458169908:dw| i marked 4 angles, can you tell me which angles are supplemenatry ?
anonymous
  • anonymous
angle A,angle B angle C,angle D angle D,angle A angle B,angle C
anonymous
  • anonymous
to prove that angle A=angle C
hartnn
  • hartnn
oh, excellent! so, let angle A = x what can you say about angle B ?
anonymous
  • anonymous
180-x
hartnn
  • hartnn
to prove : A=C and B=D
anonymous
  • anonymous
yes..
hartnn
  • hartnn
right, since B and C are also supplementary, and B= 180-x what can you say about angle C ?
anonymous
  • anonymous
angle C=x ok so angle A=angle C=x thanks!!!!!
hartnn
  • hartnn
correct! also, since C and D are supplementary, D =180-x which = B so, B=D
anonymous
  • anonymous
thanks again...
hartnn
  • hartnn
welcome ^_^

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