SOLUTION: Hi, This question came from my son's math book at school. I cannot help him. Can some of you please help use to find the answer and the way to get there. Q. A kite has two angl

Algebra ->  Angles -> SOLUTION: Hi, This question came from my son's math book at school. I cannot help him. Can some of you please help use to find the answer and the way to get there. Q. A kite has two angl      Log On


   



Question 140928: Hi, This question came from my son's math book at school. I cannot help him.
Can some of you please help use to find the answer and the way to get there.
Q. A kite has two angles of 70 degrees. The largest of the other angles is four times the size of the smallest angle. Calculate the angles of this kite.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Q. A kite has two angles of 70 degrees. The largest of the other angles is four times the size of the smallest angle. Calculate the angles of this kite.
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If the kite has four sides it is a quadrilateral.
The sum of its interior angles is 360 degrees.
If two of the angles are 70 degrees that leaves 220 degrees for the remaining
two angles.
1st angle = x
2nd angle = 4x
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EQUATION:
x + 4x = 220
5x = 220
x = 44 degrees (1st angle size)
4x= 176 degrees (2nd angle size)
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Cheers,
Stan H.