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A student is building a diamond-shaped kite in his science class. To construct the kite, the student has assembled four congruent right triangle pieces of fabric to form the diamond. The diagonals of the kite are perpendicular to one another. If angle ABC on the side of the kite is 116 degrees what will angle BCD on the tail end of the kite be? A. 32 degrees B. 58 degrees c. 64 degrees d. 90 degrees
Geometry
chestercat
  • chestercat
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welshfella
  • welshfella
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welshfella
  • welshfella
as the 4 triangles in the kite are congruent the top and bottom angles are equal therefore angle at the tail end is [360 - 2(116)] / 2

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ASAPT
  • ASAPT
so its 64?
welshfella
  • welshfella
second question; the external angle of a triangle = sum of the2 opposite internal angles therefor 3x = x + 84
welshfella
  • welshfella
Yes - 64 for first question
ASAPT
  • ASAPT
Thank you very much can I ask you another one?
welshfella
  • welshfella
one more then i have to go
ASAPT
  • ASAPT
Which of the following best describes triangle GFH? A. isosceles triangle B. acute triangle C. scalene triangle D. right triangle
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welshfella
  • welshfella
you'll need to find the values of x then plug this into the 3 angles to get their value. This will tell you the type of triangle. as th 3 angles in triangle add up to 180 we can write: 7x + 6x + 10 + 15x + 2 = 180 solve this for x
ASAPT
  • ASAPT
ok then what
welshfella
  • welshfella
can you solve this for x? when you have found x plug its value into the 3 angles 7x , 6x + 10 and 15x + 2 to find their value.
welshfella
  • welshfella
these will tell you what type of triangle we have
welshfella
  • welshfella
sorry gotta go right now
ASAPT
  • ASAPT
wait so is it a b c or d

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