Find the measure of each missing angle in the following kite.
1 answer:
The measures of the missing angles in the kite are given as follows:
- Angle A: 116.5º.
- Angle B: 109º.
- Angle C: 69.5º.
The sum of the internal angle measures of a polygon of n sides is given by the equation presented as follows:
S = (n - 2) x 180º.
The kite, as shown by the image at the end of the answer, has 4 sides, hence the sum of the measures is given as follows:
S = (4 - 2) x 180º
S = 2 x 180º
S = 360º.
Angles B and D are on the opposite side of the kite, as shown by the image at the end of the answer, hence they are congruent and:
B = 109º.
Adding the measures, the value of x is obtained as follows:
5x + 14 + 109 + 3x + 8 + 109 = 360
8x = 164
x = 20.5.
Hence the measures are given as follows:
- Angle A: 5(20.5) + 14 = 116.5º.
- Angle C: 3(20.5) + 8 = 69.5º.
The model of the kite, with different angle measures, is given by the image at the end of the answer.
More can be learned about the internal angles of a polygon at brainly.com/question/224658
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Answer:
Step-by-step explanation:
There are only 5 solutions:
x=-1
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See the graph
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In red : y=x+2(x-[x])
