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m_a_m_a [10]
2 years ago
12

In the figure above AB= 4×+6 and BC=7×+15. if AC=120 , find the length of segment AB.?​

Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer:2x+6

Step-by-step explanation:

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Answer:
measure of larger angle = 240 degrees
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Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides

Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°

An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees

Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
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This means that:
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the larger angle = 2x = 2 * 120 = 240 degrees

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