anonymous
  • anonymous
In an isosceles triangle, if one pair of base angles is twice the measure of the second pair of base angles, what are the measures of the angles?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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radar
  • radar
There are three angles in a triangle. I don't understand how a pair (2) can measure twice another pair. Almost sounds like 4 angles?? Since it is an isosceles triangle, two of the angles are equal so assuming the remaining angle is twice the measure of those pair, and knowing that the sum is 180 degrees: let x = measure of each equal angle let 2x = remainiing angle we can say x + x + 2x= 180 degrees 4x=180 degrees x=45 degrees 2x = 90 degrees, the angles are 45 and 45 and 90 degrees
anonymous
  • anonymous
Oh, what about an isosceles trapezoid? The questions are flip flopped.
radar
  • radar
Then we could say: x + x + 2x + 2x = 360 degrees 6x =360 degrees x= 60 degrees 2x=120 degrees One pair is 60 degrees each The other pair are120 degrees each.

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anonymous
  • anonymous
Do you know the properties of an isosceles triangle?
anonymous
  • anonymous
Oh do you mind drawing a quick sketch? I'm so sorry for asking so many questions!
radar
  • radar
Two sides are equal to each other, two angles are equal to each other other than that the sum of the angles are 180 degrees.|dw:1333337638457:dw|
anonymous
  • anonymous
And the isosceles trapezoid?
radar
  • radar
The legs have equal length|dw:1333337945408:dw|
anonymous
  • anonymous
ok|dw:1333338059707:dw|
anonymous
  • anonymous
Am I correct?
radar
  • radar
That is what I too believe the problem is stating.
anonymous
  • anonymous
Thank you!
radar
  • radar
You're welcome.

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